Results 1 to 10 of about 278 (68)

Absolute [Formula: see text] summability of infinite series. [PDF]

open access: yesJ Inequal Appl, 2017
In this paper, we established a generalized theorem on a minimal set of sufficient conditions for absolute summability factors by applying a sequence of a wider class (quasi-power increasing sequence) and the absolute Cesàro φ − | C , α , β ; δ | k ...
Sonker S, Munjal A.
europepmc   +2 more sources

Some absolutely effective product methods [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1992
It is proved that the product method A(C,1), where (C,1) is the Cesàro arithmetic mean matrix, is totally effective under certain conditions concerning the matrix A.
H. P. Dikshit, J. A. Fridy
doaj   +3 more sources

Partial best approximations and the absolute Cesaro summability of multiple Fourier series [PDF]

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2021
The article is devoted to the problem of absolute Cesaro summability of multiple trigonometric Fourier series. Taking a central place in the theory of Fourier series this problem was developed quite widely in the one-dimensional case and the ...
S. Bitimkhan, D.T. Alibieva
doaj   +3 more sources

Application of quasi-f -power increasing sequence in absolute ph - |C, a, b; d; l| of infinite series [PDF]

open access: yesMathematica Moravica, 2021
An increasing quasi-f-power sequence of a wider class has been used to establish a universal theorem on a least set of conditions, which is sufficient for an infinite series to be generalized ph-|C, a, b; d; l| k summable.
Sonker Smita   +2 more
doaj   +1 more source

A study of bounded operators on martingale Hardy spaces [PDF]

open access: yes, 2021
The classical Fourier Analysis has been developed in an almost unbelievable way from the first fundamental discoveries by Fourier. Especially a number of wonderful results have been proved and new directions of such research has been developed e.g ...
Tutberidze, Giorgi
core   +1 more source

A new note on factored infinite series and trigonometric Fourier series [PDF]

open access: yes, 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.
Hüseyin Bor
core   +4 more sources

A study on absolute summability factors

open access: yesSakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2020
In this study we proved theorems dealing withsummability factors giving relations between absolute Cesàro and absolute weightedsummability methods. So we deduced some results in the special cases.
G. Canan Hazar Güleç
doaj   +1 more source

Best approximation by «angle» and the absolute Cesàro summability of double Fourier series

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2023
This article is devoted to the topic of absolute summation of series or Cesaro summation. The relevance of this article lies in the fact that a type of absolute summation with vector index which has not been previously studied is considered.
S. Bitimkhan, O. Mekesh
doaj   +1 more source

A distributional approach to asymptotics of the Spectral Action [PDF]

open access: yes, 2020
La acción espectral es el concepto natural y apropiado para hablar de una acción en el espacio de triplas espectrales, y fue introducido por primera vez por Chamseddine y Connes en 1997.
López Castaño, Juan Daniel
core   +1 more source

A NEW STUDY ON ABSOLUTE CESÀRO SUMMABILITY FACTORS [PDF]

open access: yes, 2021
In this paper, we have generalized a known theorem dealing with $\varphi-{\mid{C},\alpha,\mid}_k$ summability factors of infinite series to the $\varphi-{\mid{C},\alpha,\beta\mid}_k$ summability method under weaker conditions.
Bor, Huseyin
core   +1 more source

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