Results 21 to 30 of about 4,273,203 (249)

Borel summability and perturbative series [PDF]

open access: yes, 2022
Somabilidade de borel e series perturbativasBorel summability and perturbative ...
Brunelli, Jose Carlos   +1 more
core   +1 more source

A new extension on the theorem of Bor

open access: yesComptes Rendus. Mathématique, 2021
In [8], Bor has obtained a main theorem dealing with Riesz summability factors of infinite series and Fourier series. In this paper, we generalized that theorem to $|A,\theta _{n}|_{k}$ summability method for taking power increasing sequence.
Yıldız, Şebnem
doaj   +1 more source

A Study on Generalized Absolute Matrix Summability

open access: yesCumhuriyet Science Journal, 2022
In the present paper, generalized absolute matrix summability method of infinite series has been studied. A known theorem on IMI ,summability method has been generalized using the summability method of infinite series.
Ahmet Karakaş
doaj   +1 more source

A new note on factored infinite series and trigonometric Fourier series

open access: yesComptes Rendus. Mathématique, 2021
In this paper, we have proved two main theorems under more weaker conditions dealing with absolute weighted arithmetic mean summability factors of infinite series and trigonometric Fourier series.
Bor, Hüseyin
doaj   +1 more source

Pythagorean harmonic summability of Fourier series

open access: yesDemonstratio Mathematica, 2021
This paper explores the possibility for summing Fourier series nonlinearly via the Pythagorean harmonic mean. It reports on new results for this summability with the introduction of new concepts like the smoothing operator and semi-harmonic summation ...
Haidar Nassar H. S.
doaj   +1 more source

On |A|k summability factors of infinite series; pp. 201–206 [PDF]

open access: yesProceedings of the Estonian Academy of Sciences, 2010
In an earlier paper (Rhoades, B. E. and Savaş, E. Some necessary conditions for absolute matrix summability factors. Indian J. Pure Appl. Math., 2002, 33(7), 1003–1009) the authors obtained necessary conditions for the series ∑ an to be absolutely ...
B. E. Rhoades, Ekrem Savaş
doaj   +1 more source

On the degree of approximation of Fourier series based on a certain class of product deferred summability means

open access: yesJournal of Inequalities and Applications, 2023
In this article, we first introduce and study the basic concepts of deferred Euler and deferred Nörlund product summability means of Fourier series of arbitrary periodic functions.
Bidu Bhusan Jena   +2 more
doaj   +1 more source

On a new application of quasi power increasing sequences

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2019
In the present paper, absolute matrix summability of infinite series has been studied. A new theorem concerned with absolute matrix summability factors, which generalizes a known theorem dealing with absolute Riesz summability factors of infinite series,
H.S. Özarslan
doaj   +1 more source

Generalized absolute matrix summability of infinite series and Fourier series

open access: yes, 2022
In this paper, two general theorems on absolute matrix summability of infinite series and Fourier series are obtained. Also, two known theorems dealing with vertical bar(N) over bar, p(n)vertical bar(k) summability of infinite series and Fourier series ...
ÖZARSLAN, HİKMET, Hikmet S. Özarslan
core   +1 more source

Strong Riesz summability of Fourier series

open access: yes, 2020
The notion of strong summability was introduced by Fekete (Math. És Termesz Ertesitö, 34 (1916), 759-786). Dealing with Nörlund summability of Fourier series Mittal (J. Math. Anal. Appl.
Misra, Umakanta   +2 more
core   +1 more source

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