Research Article

A Note On Double Walsh$-$Fourier Coefficients of Functions of Generalized Wiener Class

Volume: 7 Number: 2 October 15, 2019
EN

A Note On Double Walsh$-$Fourier Coefficients of Functions of Generalized Wiener Class

Abstract

In this note, we have estimated the order of magnitude of double Walsh$-$Fourier coefficients of functions of the class $(\Lambda^1,\Lambda^2)BV (p(n)\uparrow \infty,\varphi, [0,1]^{2})$.


Keywords

References

  1. [1] T. Akhobadze, Functions of generalized Wiener classes $BV(p(n)\uparrow \infty, \varphi)$ and their Fourier coefficients, Georgian Math. J., 7 (3) (2000), 401-416.
  2. [2] K. N. Darji and R. G. Vyas, A note on Walsh-Fourier coefficients, Bull. Math. Anal. Appl., 4 (2) (2012), 116-119.
  3. [3] K. N. Darji and R. G. Vyas, On absolute convergence of double Walsh-Fourier series, Indian J. Math., 60 (1) (2018), 45-63.
  4. [4] F. Moricz and A. Veres, Absolute convergence of double Walsh-Fourier series and related results, Acta Math. Hungar., 131(1-2) (2011), 122􀀀137.
  5. [5] R. G. Vyas, A note on functions of $p(n)-\Lambda-$bounded variation, J. Indian Math. Soc., 78 (1-4) (2011), 215-220.
  6. [6] R. G. Vyas, On multiple Fourier coefficients of a function of generalized Wiener class, Georgian Math. J., 22 (3) (2015), 435-439.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Publication Date

October 15, 2019

Submission Date

July 24, 2018

Acceptance Date

June 12, 2019

Published in Issue

Year 2019 Volume: 7 Number: 2

APA
Darji, K., & Vyas, R. (2019). A Note On Double Walsh$-$Fourier Coefficients of Functions of Generalized Wiener Class. Konuralp Journal of Mathematics, 7(2), 288-291. https://izlik.org/JA76AW55XK
AMA
1.Darji K, Vyas R. A Note On Double Walsh$-$Fourier Coefficients of Functions of Generalized Wiener Class. Konuralp J. Math. 2019;7(2):288-291. https://izlik.org/JA76AW55XK
Chicago
Darji, Kiran, and Rajendra Vyas. 2019. “A Note On Double Walsh$-$Fourier Coefficients of Functions of Generalized Wiener Class”. Konuralp Journal of Mathematics 7 (2): 288-91. https://izlik.org/JA76AW55XK.
EndNote
Darji K, Vyas R (October 1, 2019) A Note On Double Walsh$-$Fourier Coefficients of Functions of Generalized Wiener Class. Konuralp Journal of Mathematics 7 2 288–291.
IEEE
[1]K. Darji and R. Vyas, “A Note On Double Walsh$-$Fourier Coefficients of Functions of Generalized Wiener Class”, Konuralp J. Math., vol. 7, no. 2, pp. 288–291, Oct. 2019, [Online]. Available: https://izlik.org/JA76AW55XK
ISNAD
Darji, Kiran - Vyas, Rajendra. “A Note On Double Walsh$-$Fourier Coefficients of Functions of Generalized Wiener Class”. Konuralp Journal of Mathematics 7/2 (October 1, 2019): 288-291. https://izlik.org/JA76AW55XK.
JAMA
1.Darji K, Vyas R. A Note On Double Walsh$-$Fourier Coefficients of Functions of Generalized Wiener Class. Konuralp J. Math. 2019;7:288–291.
MLA
Darji, Kiran, and Rajendra Vyas. “A Note On Double Walsh$-$Fourier Coefficients of Functions of Generalized Wiener Class”. Konuralp Journal of Mathematics, vol. 7, no. 2, Oct. 2019, pp. 288-91, https://izlik.org/JA76AW55XK.
Vancouver
1.Kiran Darji, Rajendra Vyas. A Note On Double Walsh$-$Fourier Coefficients of Functions of Generalized Wiener Class. Konuralp J. Math. [Internet]. 2019 Oct. 1;7(2):288-91. Available from: https://izlik.org/JA76AW55XK
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