A note on the approximation of conjugate functions in the Hωp space

In this paper we use the trigonometric mean R1(?), for 1 < ? < 2, to estimate a sharper degree of approximation of conjugate functions in H?p?space. This paper also generalizes some results of Nigam [12] and [16]. In addition, a particular result is derived from our results as corollary.

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Publication Details

Journal
Filomat
Published
2025-01-01
DOI
https://doi.org/10.2298/fil2504419r
Primary Topic
Approximation Theory and Sequence Spaces
Type
article
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article

A note on the approximation of conjugate functions in the Hωp space

Sangeeta Ray, Anasuya Nath
Filomat
Approximation Theory and Sequence Spaces
article

A note on the approximation of conjugate functions in the Hωp space

Sangeeta Ray, Anasuya Nath
article en

Abstract

In this paper we use the trigonometric mean R1(?), for 1 < ? < 2, to estimate a sharper degree of approximation of conjugate functions in H?p?space. This paper also generalizes some results of Nigam [12] and [16]. In addition, a particular result is derived from our results as corollary.

FilomatVol. 39(4)
Utkal University (IN)
Openalex Percentile: Top 82%
Approximation Theory and Sequence Spaces
DOIOpen Access PDFOpenAlex
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A note on the approximation of conjugate functions in the Hωp space — Sangeeta Ray, Anasuya Nath · Filomat (2025) | TGRS Research Map | TGRS