On generalized bounded variation functions on Vilenkin groups andapplications

On generalized bounded variation functions on Vilenkin groups andapplications

Authors

  • Ushangi Goginava Department of Mathematical Sciences, United Arab Emirates Univer sity, P.O. Box No. 15551, Al Ain, Abu Dhabi, UAE
  • Gvantsa Shavardenidze Ivane Javakhishvili Tbilisi State Univer sity, Chavchavadze str. 1, Tbilisi 0128, Georgia
  • TADAEL Mequanent Department of Mathematical Sciences, United Arab Emirates Univer sity, P.O. Box No. 15551, Al Ain, Abu Dhabi, UAE
  • Yonathan Demeke Department of Mathematical Sciences, United Arab Emirates University, P.O. Box No. 15551, Al Ain, Abu Dhabi, UAE

Keywords:

Vilenkin Group, Functions of bounded variation, Summability by Cesaro method

Abstract

In the present paper, certain classes of functions of weighted bounded
oscillation defined on bounded Vilenkin groups. For such
classes, we employ the summability methods of the theory of double
Vilenkin-Fourier series.

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Published

2025-03-30

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How to Cite

On generalized bounded variation functions on Vilenkin groups andapplications. (2025). Advances in the Theory of Nonlinear Analysis and Its Application, 9(1). https://doi.org/10.17762/atnaa.v9.i1.369