Dr. Shyam Lal |
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Professor
Ph.D (BHU), D.Sc. (Univ. of Allahabad)
Contact Information:
+91-9415394735
Email Id:: shyam_lal@rediffmail.com
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Academic Qualifications: | |
S. No. | Degree | Institution | Year |
1. | B.Sc. | Banaras Hindu University, Varanasi | 1979 |
2. | M.Sc. | Banaras Hindu University, Varanasi | 1981 |
3. | Ph. D. | Banaras Hindu University, Varanasi | 1985 |
4. | D.Sc. | University of Allahabad,Allahabad | 2006 | |
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Area of specialization/awards/achievements: |
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Summability Theory, Fourier Analysis, Approximation Theory,
Fixed Point Theory, Wavelet Analysis.
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Current Research Projects:
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Awards/ Achievements:
- BHU Gold Medal for standing first in Maths at M.A. & in M.Sc. (Final) Examination 1981.
- Dr. S.C.De Gold Medal for standing first in Maths at M.A. & M.Sc. Exam, 1981.
- The Chancellors Gold Medal for securing highest percentage of marks at M.A. & M.Sc. Examination 1981.
- Awarded JRF for 02 years w.e.f. 01.02. to 31.01.1985 by CSIR.
- Awarded SRF for 03 years w.e.f. 01.02.1985 by CSIR but availed only upto 27.08.85.
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Additional information/Achievements:
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Ph.D. Guided
No. of Ph.D. Students (awarded) - 15
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Full List of Publications:
- Lal, Shyam; Mishra Abhishek The method of summation (E,1)(N,pn) and trigonometric approximation of functions in generalized Hӧlder Metric, J. Indian Math. Soc. (Accepted).
- Lal, Shyam; Mishra Abhishek A new method (E,q)(C,1) of summation and degree of approximation of functions in generalized Lr - norm Int. J. Pur. Appl. Math.(Accepted).
- Lal, Shyam On the approximation of function f(x,y) belonging to Lipschitz class by matrix summability method of double Fourier series, Journal of the Indian Math. Soc. Vol. 78, Nos. 1 - 4 (2011), 93-101.
- Lal, Shyam; Kushwaha, Jitendra Kumar Approximation of functions belonging to generalized class using lower triangular matrix summability method, Int. J. Engineering Sci. & Tech., Vol. 3, no. 7(2011), 5531-5538.
- Lal, Shyam; Singh, Mradul Veer; Porwal,Saurabh Approximation of functions belonging to Lipschitz class by almost triangular matrix summability. J.Rajasthan Acad. Phys. Sci. 9 (2010), no. 4, 305316.
- Lal, Shyam; Prasad Singh, Harendra The degree of approximation of conjugates of almost Lipschitz functions by means. Int. Math. Forum 5(2010), no. 33-36, 16631671.
- Lal, Shyam; Dhakal, Binod Prasad Approximation of functions belongingto Lipschitz class by triangular matrix method of Fourier series. Int. J. Math. Anal.(Ruse) 4 (2010), no. 21-24, 10411047.
- Lal, Shyam; Singh, Harendra Prasad Double matrix summability ofdouble Fourier series. Int. J. Math. Anal. (Ruse) 3 (2009), no. 33-36, 16691681.
- Lal, Shyam; Kushwaha, JitendraKumar Approximation of conjugate offunctions belonging to the generalized Lipschitz class by lower triangular matrixmeans. Int. J. Math. Anal. (Ruse) 3 (2009), no. 21-24, 10311041.
- Lal, Shyam; Kushwaha, Jitendra KumarcDegree of approximation of Lipschitz function by product summability method. Int. Math.Forum 4(2009),no.41-44,21012107.
- Lal, Shyam Approximation of functions belonging t othe generalized Lipschitz class by summability method of Fourier series. Appl.Math. Comput. 209 (2009), no. 2, 346350.
- Lal, Shyam; Kushwaha, Jitendra Kumar Approximation of conjugate of functions belonging to class by summability method of conjugate series of Fourier series, Prog.Maths., Vol. 41&42 (2007&2008), 195-204.
- Dhakal, Binod Prasad; Lal, Shyam The (E,1)(C,1) summability of a Fourier series. South East Asian J. Math. Math. Sci. 6 (2008), no. 3, 17.
- Dhakal, Binod Prasad; Lal, Shyam The (E,1)(C,1) summability of the conjugate series of a Fourier series. Nepali Math. Sci. Rep. 27 (2007), no. 1-2, 3138.
- Lal, Shyam; Singh, Harendra Prasad On uniform triangular matrix-Cesΰro summability of a Fourier series. Progr. Math. (Varanasi) 40 (2006), no. 1-2,111.
- Lal, Shyam; Nigam, Hare Krishna On almost (N,p,q) summability of derived Fourier series. Ultra Sci. Phys. Sci. 18 (2006), no. 3M, 433438.
- Lal, Shyam; Nigam, Hare Krishna On matrix summability of Jacobi series. Ultra Sci. Phys. Sci. 18 (2006), no. 1M, 99108.
- Lal, Shyam; Srivastava, Anjalee Approximation of conjugate of function by almost triangular matrix summability method. Bull. Calcutta Math. Soc. 98 (2006), no. 1, 3948.
- Lal, Shyam; Tripathi, Vijay Kumar Approximation of Lipschitz function by almost matrix summability method. Aligarh Bull. Math. 24(2005), no. 1-2, 1118.
- Lal, Shyam; Yadav, Rama Kant Approximation of a function belongingto class by matrix Cesαro means of its Fourier series. South East Asian J. Math.Math. Sci. 3 (2005), no. 3, 95102.
- Lal, Shyam; Yadav, Rama Kant Approximation of afunction of class by -summability method. Ultra Sci. Phys. Sci. 17(2005), no. 1M, 101108.
- Lal, Shyam Approximation of conjugates of almost Lipschitz functions by matrix-Cesΰro summability method. Arab J. Math. Sci. 10(2004), no. 2, 5158.
- Lal, Shyam; Srivastava, Anjalee Study of conjugate series of a Fourier series by -summability method. Ultra Sci. Phys. Sci. 16 (2004), no. 3M, 307312.
- Lal, Shyam; Singh, PremNarain On the study of Jacobi series by matrix summability method. Bull. Calcutta Math. Soc. 96 (2004), no.5, 339350.
- Lal, Shyam; Tripathi, VijayKumarThe almost summability of derived series of a Fourier series. Ultra Sci. Phys. Sci. 16 (2004), no.1M, 5766.
- Lal, Shyam On the approximation of function belonging to weighted class by almost matrix summability method of its Fourier series. Tamkang J. Math. 35(2004), no.1,6776.
- Lal, Shyam; Tripathi, Vijay Kumar On the study of Fourier series by uniform -summability method. Aligarh Bull. Math. 22 (2003), no. 1, 6975.
- Lal, Shyam Approximation of function by (N,p,q)C1 means of its Fourier series. Arab J. Math. Sci. 9 (2003), no. 2, 1729.
- Lal, Shyam; Singh, Gopal Krishna Degree ofapproximation of conjugate of class function by -summability means of conjugate series of a Fourier series. Tamkang J. Math. 34 (2003), no. 4, 387394.
- Lal, Shyam; Yadav, Ramashray Singh Almost (N,p,q) summability of conjugate series of a Fourier series. Bull. Calcutta Math. Soc. 95(2003), no. 2, 137146.
- Lal, Shyam; Singh, PremNarain On the approximation of Fourier-Laguerre expansion by (N,p,q) summability method. Ultra Sci. Phys. Sci. 15 (2003),no. 2, 187192.
- Lal, Shyam; Singh, PremNarain On the study of conjugate series of a Fourier series by -summability methods. Tamkang J. Math.34 (2003), no. 2, 147153.
- Lal, Shyam; Singh, Gopal Krishna Almost matrix summability of Fourier series. Ranchi Univ. Math. J. 33 (2002), 6777.
- Lal, Shyam; Tripathi, VirendraNath On the study of derived series of a Fourier series and allied series by almost Nφrlund summability method. ActaCienc.Indica Math. 28 (2002), no. 1, 7788.
- Lal, Shyam; Tripathi, VirendraNath On the study of double Fourier series by double matrix summability method. Tamkang J. Math. 34(2003), no. 1, 116.
- Lal, Shyam; Singh, Gopal Krishna On the approximation by (N,pn,qm) means of double Fourier series. Ultra Sci. Phys. Sci. 14 (2002), no. 3A, 497504.
- Lal, Shyam; Tripathi, VirendraNath On the degree of approximation by matrix summability means of the Fourier-Laguerre expansion. Ultra Sci. Phys. Sci. 14 (2002), no. 3A, 467472.
- Lal, Shyam; Yadav, Kalpnath Singh On the degree of approximation of conjugate of a function belonging to Lip class by matrix summability means of conjugate Fourier series. (Hindi) VijnanaParishadAnusandhanPatrika45 (2002), no.3, 277291.
- Lal, Shyam; Singh, PremNarain On approximation of Lip function by (C,1)(E,1) means of its Fourier series. Indian J. Pure Appl. Math.33(2002), no. 9, 14431449.
- Lal, Shyam; Tripathi, VirendraNath On uniform (N.p,q) summability of Legendre series. (Hindi) VijnanaParishadAnusandhanPatrika45 (2002), no. 4, 325337.
- Lal, Shyam; Singh, PremNarain Degree of approximation of conjugate of Lip function by (C,1)(E,1) means of conjugate series of a Fourier series. Tamkang J. Math. 33 (2002), no. 3, 269274.
- Lal, Shyam; Nigam, Hare Krishna On degree of approximation of a Lipschitz function by (N.pn)(E,1)means of its Fourier series. Ultra Sci. Phys. Sci. 14 (2002), no. 1, 5358.
- Lal, Shyam; Yadav, Purnima Matrix summability of the conjugate series of derived Fourier series. Tamkang J. Math. 33 (2002), no. 1, 4553.
- Lal, Shyam; Yadav, Purnima Uniform matrix summability of Legendre series. Ranchi Univ. Math. J. 32 (2001), 121133 (2004).
- Lal, Shyam; Srivastava, Anjalee Study of conjugate series of a Fourierseries by - summability method. Ranchi Univ. Math. J. 32 (2001), 2940 (2004).
- Lal, Shyam; Singh Yadav, Surendra On the degree of approximation by matrix summability means of the Fourier-Laguerre expansion. Acta Cienc.Indica Math. 27 (2001), no. 3, 339344.
- Lal, Shyam; Singh Yadav, Surendra On -summability of a double Fourier series.ActaCienc.Indica Math. 27 (2001), no.3, 289296.
- Lal, Shyam; Singh Yadav, Surendra On matrix summability of Jacobi series. ActaCienc.Indica Math. 27 (2001), no. 3, 279288.
- Lal, Shyam; Yadav, Surendra Singh The (C,1)(E,1) summability of a Fourier series and its conjugate series. Bull. Calcutta Math. Soc. 93(2001), no. 4, 331338.
- Lal, Shyam; Sharma, Dhananjay Pd. On the degree of approximation of a function belonging to Lip class by -summability means of its Fourier series.Bull. Calcutta Math. Soc. 93 (2001), no. 6, 489496.
- Lal, Shyam; Yadav, KalpNath Singh On degree of approximation of function belonging to the Lipschitz class by (C,1)(E,1) means of its Fourier series. Bull. Calcutta Math. Soc. 93 (2001), no. 3, 191196.
- Lal, Shyam; Yadav, Purnima (N,p,q)C1 summability of derived series of a Fourier series. Bull. Calcutta Math. Soc. 93 (2001), no. 2, 8592.
- Lal, Shyam; Krishna Nigam, Hare On almost (N,p,q) summability of Fourier series.Ultra Sci. Phys. Sci. 13 (2001), no. 3, 279285.
- Lal, Shyam; Nigam, Hare Krishna Degree of approximation of conjugate of a function belonging to Lip class by matrix summability means of conjugate Fourier series. Int. J. Math. Math. Sci. 27 (2001), no. 9, 555563.
- Lal, Shyam; Yadav, Surendra Singh On matrix-Cesaro summability of Fourier coefficients. ActaCienc.Indica Math. 27 (2001), no. 2, 203207.
- Lal, Shyam; Pratap, Ajay On (N,pn,qm) summability of a double Fourier series. ActaCienc.Indica Math. 27 (2001), no. 2, 191197.
- Lal, Shyam; Krishna Nigam, Hare Degree of approximation by (N,p,q) summability means of the Fourier-Laguerre expansion. Tamkang J. Math. 32 (2001), no. 2, 143150.
- Lal, Shyam; Nigam, Hare Krishna On almost (N,p,q) summability of conjugate Fourier series. Int. J. Math. Math. Sci. 25 (2001), no. 6, 365372
- Lal, Shyam; Singh Yadav, Surendra On (N,pn) summability on Legendre series. ActaCienc.Indica Math. 26 (2000), no. 4, 349354.
- Lal, Shyam; Tripathi, VirendraNath On degree of approximation of Lipschitz function by (N,pn)(C,1) means of its Fourier series. Ranchi Univ. Math. J. 31 (2000), 7985 (2001).
- Lal, Shyam; Yadava, Purnima On (N,pn,qm) summability of double Fourier series. Ranchi Univ. Math. J. 31 (2000), 2942.
- Lal, Shyam; Yadav, Surendra Singh The degree of approximation of conjugates of Lipschitz functions by (C,1)(E,1) means. GaṇitaSandesh14 (2000), no. 2, 6366.
- Lal, Shyam; Yadav, KalpNath Singh On the summability of double Fourier series by -method.ActaCienc.Indica Math. 26 (2000), no. 2, 107120.
- Lal, Shyam On the degree of approximation of conjugate of a function belonging to weighted class by matrix summability means of conjugate series of a Fourier series. Tamkang J. Math. 31 (2000), no. 4, 279288.
- Lal, Shyam; Krishna Nigam, Hare On -summability of derived Fourier series. Ultra Sci. Phys. Sci. 12 (2000), no. 2, 198203.
- Lal, Shyam; Pratap, Ajay On the degree of approximation of functions belonging to weight class of its conjugate series by (N,p,q) mean. Ultra Sci.Phys. Sci. 12 (2000), no. 2, 145150.
- Lal, Shyam; Tripathi, Daya Shankar On degree of approximation of function belonging to the weighted . (Hindi) Vijnana Parishad Anusandhan Patrika43 (2000), no. 1, 4152.
- Lal, Shyam On (N,pn) summability of Legendre series. Ganit19 (1999), 1119.
- Lal, Shyam The (C,1)(E,1) summability of a Fourier series and its conjugate series. Ganit19 (1999), 110.
- Lal, Shyam; Pratap, Ajay On -summability of Fourier series.Gaṇita Sandesh13 (1999), no. 1, 1318.
- Lal, Shyam; Verma, Sunita On (N,pn) summability of Jacobi series. GaṇitaSandesh13 (1999), no. 2, 1320.
- Lal, Shyam; Pratap, Ajay On uniform matrix summability of a Fourier series. Bull. Calcutta Math. Soc. 91 (1999), no. 5, 427432.
- Lal, Shyam The degree of approximation of conjugates of almost Lipschitz functions by (C,1)(E,1) means. Bull. Calcutta Math. Soc. 91 (1999), no. 2, 145148.
- Lal, Shyam; Pratap, Ajay On (N,p,q)C1summability of Fourier coefficients. ActaCienc.Indica Math. 25 (1999), no. 1, 8996.
- Lal, Shyam; Tripathi, Daya Shankar A study of conjugate series of a Fourier series by -summability method.ActaCienc.Indica Math. 25 (1999), no. 3, 263270.
- Lal, Shyam On matrix summability of Jacobi series. Tamkang J. Math. 30 (1999), no. 3, 191202.
- Lal, Shyam On degree of approximation of functions belonging to the weighted class by (C,1)(E,1) means. Tamkang J. Math. 30 (1999), no. 1, 4752.
- Lal, Shyam On common fixed point of three continuous mappings. Ganit18 (1998), 9197.
- Lal, Shyam; Verma, Sunita The (C,1)(E,1) summability of a Fourier series and its conjugate series. (Hindi) VijnanaParishadAnusandhanPatrika41 (1998), no. 4, 265276.
- Lal, Shyam; Verma, Sunita On -summability of Fourier series .Acta Cienc.Indica Math. 24 (1998), no. 3, 197200.
- Lal, Shyam; Verma, Sunita On (N,pn) summability of Legendre series. Acta Cienc. Indica Math. 24 (1998), no. 4, 343348.
- Lal, Shyam On -summability of conjugate series of Fourier series.Bull. Calcutta Math. Soc. 89 (1997), no. 1, 97104.
- Lal, Shyam On -summability of a double Fourier series.Bull.Calcutta Math. Soc. 89 (1997), no. 4, 327336.
- Lal, Shyam A theorem on absolute summability methods. ActaCienc.Indica Math. 22 (1996), no. 4, 413420.
- Lal, Shyam On -summability of Fourier series.Bull. Calcutta Math.Soc. 88 (1996), no. 5, 385390.
- Singh, G. P.; Lal, Shyam; Singh, S. B. On (N,pn,qm)summability of a double Fourier series. Bull. Calcutta Math. Soc. 87 (1995), no. 2, 151156.
- Lal, Shyam; Singh, G. P. A study of Legendre series by strong Borel summability method. (Hindi) VijnanaParishadAnusandhanPatrika37 (1994), no. 1, 37 41.
- Lal, Shyam; Singh, V. S. A theorem on absolute summability factors of a Fourier series. (Hindi) VijnanaParishadAnusandhanPatrika 36 (1993), no. 1, 4753.
- Lal, Shyam A study of double Fourier series by Nφrlund summability. ActaCienc.Indica Math. 18 (1992), no. 3, 225230.
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