Approximation of conjugate of a function in generalized Hölder class
Abstract
In this work, we study the error estimation of the function ˜g ∈ Hr(η) (r ≥ 1), where ˜g is a conjugate function of a 2π-periodic function g using Matrix-Hausdorff (T∆H) product means of its conjugate Fourier series. Our Theorem 1 generalizes four earlier known results. Several useful results in the form of corollaries have also deduced from the main theorem.
Copyright © 2020 H.K. Nigam, Supriya Rani. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
H. K. Nigam, S. Rani, Approximation of conjugate of a function in generalized Hölder class, J. Math. Comput. Sci. 10 (2020), 1851–1866. https://doi.org/10.28919/jmcs/4555
BibTeX
@article{Nigam2020,
author = {Nigam, H.K. and Rani, Supriya},
title = {Approximation of conjugate of a function in generalized Hölder class},
journal = {J. Math. Comput. Sci.},
volume = {10},
year = {2020},
pages = {1851--1866},
doi = {10.28919/jmcs/4555}
}