A New Application of a Wider Class of Power Increasing Sequences. (15th June 2021)

• Record Type: Journal Article
• Authors: Bor, Hüseyin
• Is Part Of: Numerical functional analysis and optimization. Volume 42:Number 6(2021)
• Page Start: 712
• Page End: 720
• Publication Date: 2021-06-15
• Subjects: Fourier series -- Hölder's inequality -- infinite series -- Minkowski's inequality -- power increasing sequences -- Riesz mean -- sequence space; 26D15 -- 40D15 -- 42A24 -- 46A45; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2021.1926280
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: In the present paper, we have proved a basic theorem on the absolute Riesz summability factors of infinite series by using a wider class of power increasing sequences and then we applied this new result to the trigonometric Fourier series. Some new results are also obtained concerning the factored infinite series and trigonometric Fourier series.