Rajendra G. Vyas
CURRICULUM VITAE
Date of Birth: 14th May 1965
Address-Office: Department of Mathematics, Faculty of Science, The Maharaja Sayajirao University of Baroda,
Vadodara-390002, Gujarat, India
Phone No.: 912652795329
drrgvyas@yahoo.com
Head (I/C), Department of Mathematics, Fac. of Science, The M. S. University of Baroda (27-04-2020 to 29-09-2020)
Offg. Head, Department of Mathematics, Fac. of Science, The M. S. University of Baroda (From 30-09-2020 to 29-12-2020)
Head, Department of Mathematics, Faculty of Science, The Maharaja Sayajirao University of Baroda (From 30-12-2020)
My Citation Indices:
Google Scholar: http://scholar.google.co.in/citations?user=j6aF8dEAAAAJ&hl=en
MATHEMATICAL REVIEWS https://mathscinet.ams.org/mathscinet/search/author.html?mrauthid=338334
PUBLISHED BOOK OR CHAPTER OF A BOOK:
1. Mathematical Analysis, Approximation Theory and Their Applications: CHAPTER: Properties of Functions of Generalized Bounded Variations, (2016), 715-741, Springer Pub.
Following researsh papers are published/accepted in National and International Journals of repute:
1. On weighted absolute convergence of multiple Fourier series of (p1, p2,..., pn)-(Lambda_1,Lambda_2,...,Lambda_n)BV, Acta Mathematica Hungarica, 2018.
2. FUNCTIONS OF GENERALIZED BOUNDED VARIATION AND ITS MULTIPLE FOURIER COEFFICIENTS,
3. Absolute convergence of multiple Fourier series of a function of p(n)-Lambda-BV, Georgian Math. Journal, 25 (3) (2018), 481-491.
4. . The Classification of Data: A Novel Artificial Neural Network (ANN) Approach through Exhaustive Validation and Weight Initialization, International Journal of Computer Sciences and Engineering, 6(5), 2018, 241-254, (jointly with Anil K. Gupta and Kshitij Tripathi).
5. On the absolute Norlund summability of Fourier series, The Mathematics Student, 87(1-2),(2018), 153-160,
7. On two variables functions of Phi-Bounded variation in the mean,
8. Generalized absolute convergence of Trigonometric Fourier series, conference proceeding,
9. On multiple Walsh-Fourier coefficients of Phi-Lambda-Bounded variation, Arabian Journal of Mathematics, 5(2),
(2016), 117-123 (jointly with K.N. Darji).
10. On multiple Fourier coefficients of a functions of generalized Wiener class, Georgian Math. J. V.22, 3 (2015), 435-439.
11. On multiple Fourier coefficients of functions of Phi-/\-Bounded variation, Mathematical inequalities and Appl., V.17, 3(2014), 1153-1160.(jointly with K. N. Darji)
12. On two variables functions of Bounded p-variation in the mean, J. Indian Math Soc, V.81, 1-2(2014), 61-66. (jointly with K.N. Darji)
13. Convolution function of several variables with generalized bounded variation, Analysis Mathematica, V.39, June 2, (2013), 153-161.
14. Absolute convergence of Walsh-Fourier series, Annales Univ. Sci. Budapest. Sect. Math., 56(2013), 71-77.
15. On absolute convergence of multiple Fourier series, Mathematical Notes (Springer), 94(1-2)(2013), 71-81. (jointly with K. N. Darji)
16. Order of magnitude of multiple Fourier coefficietns, Anal. Theory Appl., V.29, (1)(2013), 27-36. (jointly with K. N. Darji)
17. Convolution function of several variables with p(n) bounded variation, Math Student, V.82, 1-4(2013), 147-155.
18. A note on a multiplier class, Math J. Inter. Sci., V.2, 1(2013), 95-98.
19. A note on Walsh-Fourier coefficients, Bulletin of Mathematical Analysis and Applications, V.4, 3(2012), 116-119. (jointly with K. N. Darji)
20. Small gaps Fourier series and generalized variat ions, Adv. Pure Appl. Math., V.3, (2)(2012), 223-230. Zbl 1241.42004.
21. On Banach Algebra valued functions of bounded generalized variations of one and several variables, Bulletin of Mathematical Analysis and Applications, V.4, Issue 1(2012), 181-189. (Jointly with K. N. Darji)
22. On multiple walsh Fourier coefficients, J. Indian Math. Soc. 79, Nos.1-4 (2012), 219-228. (jointly with K. N. Darji)
23. A note on functions of p(n)-/\-bounded variation, J. Indian Math. Soc. 78, Nos.1-4 (2011), 215-220.
24. On Absolute convergence of Fourier series, Math. Student 79(2010), no.1-4, 231-235. Zbl 1239.42003.
25. On variation topology, Matematicki Vesnik 62(2010), no.1, 47-50. MR2600643(2011d:26015).
26. On the absolute convergence of Fourier series of functions of /\BV(p) and Phi-/\BV, Georgian Math. J. 14(2007), no.4, 769-774. MR 2389035(2009c:42007) ;Zbl 1132.42005.
27. Properties of functions of generalized variation, Matematicki Vesnik 58(2006), No.3-4, 91-96. MR 2318223(2008f:26010) ;Zbl pre05259292.
28. Fourier series with small gaps, Georgian Math. J. 13(2006), No.3, 581-584. MR 2271070(2007g:42008); Zbl 1107.42001.
29. On the convolution of functions of generalized bounded variations, Georgian Math. J. 13(2006), No.1, 193-197. Zbl 1129.42337.
30. Order of magnitude of Fourier coefficients of /\BV(P) and /\BV, J. Indian Math. Soc. 73(2006), Nos.1-2, 25-30. MR 2290145; Zbl 1134.42306.
31. On the absolute convergence of small gaps Fourier series of functions of Phi-/\-BV, J. Ineq. Pure Appl. Math. 6(2005), no.4, Article 94, 5pp. MR2178275(2006e:42005); Zbl 1079.42002.
32. A note on Fourier coefficients of functions of generalized Wiener class, Georgian Math. J. 12 (2005), No.3, 535-538. MR 2174955(2006f:42004); Zbl 1082.42005.
33. On the absolute convergence of small gaps Fourier series of functions of /\-BV(p), J. Inequal. Pure Appl. Math. 6(2005), no.1, Article 23, 6pp. MR 2122930(2005k:42011); Zbl 1076.42002.
34. On the absolute convergence of Fourier series of functions of generalized Bounded variations, J. of Indian Math. Soc. 62(1996), n.1-4, 129-136. MR 1458482(98e:42005); Zbl 0903.42001. (jointly with J. R. Patadia).
35. A note on the lacunary Fourier series, Math. Student 64(1995), 133-137. MR 1623537(98:13).
36. Fourier series with small gaps and function of generalized bounded variations, J. Math. Anal. & Appl. 182(1994), no.1, 113- 126, MR1265885(95f:42008); Zbl 0791.42006. (Jointly with J. R. Patadia).
37. On the absolute cconvergence of a lacunary Fourier series, J. of the M. S. Univ. of Baroda, V.42(1994), 139-147.
38. Foruier coefficients of generalized bounded variation, Math Student V.61, (1992), 145-148. MR 1225036(94j:42008).
39. A note on the absolute summability of a lacunary Fourier series, J. of the M. S. university of Baroda, V.37-38,(1990-91), 133-135.
1. "Fourier coefficients of functions of generalized bounded variations", State level Research Seminar,
Dept. of Maths.,
Faculty of Science,
The M.S.Uni. of Baroda, Vadoda ra, India, Feb. 1997.
2. "Functions of generalized bounded variations', State level conference, Gujarat GanitMandal, Nov. 1996.
3. “From Calculus to Wavelet” at State level conference, Gujarat Ganit Mandal, Nov. 1997.
4. "Object Oriented Programming in C++", Series of lectures at Department of Mathematics,
Faculty of Science, The M. S.
Uni. of Baroda, Vadodara, India, 1996-1997.
5. "Digital Image Processing using MathLab", Refresher course in Mathematics, Dept. of Maths.,
S.P.Univ., V.V.nager,
6. “Functions of generalized bounded variations”, Department of Mathematics, Faculty of Science,
The M.S.Uni.of Baroda,
Vadodara, India, Feb.2005.
7. “Functions of generalized bounded variations”, UGC sponsored National Seminar in Mathematics,
Dept. of Mathematics,
Faculty of Science, The M. S. University of Baroda, March3-5, 2006.
(URL: http://www.geocities.ws/drrgvyas/GBV.pdf).
8. Properties of functions of generalized bounded variations, UGS-SAP -DRS sponsored research seminar
on Mathematical Science,
January,10-12, 2009, Department of Mathematics, Sardar Patel University,
V. V. nagar, Anand, Gujarat, India.
9. Fourier Analysis of functions of generalized bounded variations, National seminar on Analysis and
Differential Equations,
January, 30-31, 2009, Department of Mathematics, Faculty of Science, The M.
S. University of Baroda,
Vadodara, Gujarat, India.
10. Absolute convergence of Fourier series, UGS-SAP-DRS sponsored research seminar on Mathematical
Science, March, 04-06, 2010,
Department of Mathematics, Sardar Patel University, V. V. nagar,
Anand, Gujarat, India.
11. On absolute convergence of Fourier series of functions of /\BV(p) and Phi-/\_BV, International
congress of Mathematicians, August, 19-27,
2010, University of Hydrabad, Hydrabad, India.
Services: Reviewer for MATHEMATICAL REVIEW published by Americal Mathematical Society
Reviewer for Math. Zentralblatt published by European Mathematical Society
Professional membership:
Life member of the Indian Mathematical Society: Membership Number: V-98-023
Life member of the Ramanujan Mathematical Society: Membership Number: 669
Life member of Mathematics Teachers' Association: Membership Number: MTA00083
Member of American Mathematical Society (2018-2021)
Skills:
Programing in Python, C /C++, Digital Image processing using Matlab, Artificial Neural Network using Matlab.
Desktop publishing, including Latex and HTML.