Results 11 to 20 of about 862 (130)

On Modulated Lacunary Statistical Convergence of Double Sequences [PDF]

, 2023
In earlier works, F. León and coworkers discovered a remarkable structure between statistical convergence and strong Cesàro convergence, modulated by a function f (called a modulus function).
Romero de la Rosa, María Pilar
core   +1 more source

Converse Theorems for the Cesàro Summability of Improper Integrals

Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2020
In thispaper we prove converse theorems to obtain usual convergence of improperintegrals from Cesàro summability.
Sefa Anıl Sezer, Rahmet Savaş
doaj   +1 more source

On Tauber's second Tauberian theorem [PDF]

, 2012
We study Tauberian conditions for the existence of Cesàro limits in terms of the Laplace transform. We also analyze Tauberian theorems for the existence of distributional point values in terms of analytic representations.
Estrada, Ricardo, Vindas Diaz, Jasson
core   +3 more sources

Approximation of a generalized Lipschitz class function by Euler - Cesàro means of Fourier series

Bibechana, 2012
In this paper, I have taken product of two summability methods, Euler and Cesaro; and establish a new theorem on the degree of approximation of the function f belonging to W(Lp, ?(t)) classes by Euler - Cesaro method.
Binod Prasad Dhakal
doaj   +3 more sources

New Definitions about A I -Statistical Convergence with Respect to a Sequence of Modulus Functions and Lacunary Sequences

Axioms, 2018
In this paper, using an infinite matrix of complex numbers, a modulus function and a lacunary sequence, we generalize the concept of I -statistical ...
Ömer Kişi, Hafize Gümüş, Ekrem Savas   +2 more
doaj   +1 more source

Almost everywhere convergence of Fej\'er means of two-dimensional triangular Walsh-Fourier series [PDF]

, 2017
In 1987 Harris proved (Proc. Amer. Math.
Gát, György
core   +2 more sources

Some notes on matrix transforms of summability domains of Cesàro matrices

Mathematical Modelling and Analysis, 2010
In this paper sufficient conditions for a matrix M = (mnk ) (mnk are Cesàro numbers As n‐k, s ∈ C if k ≤ n and mnk= 0 if k > n) to be a transform from the summability domain of the Cesàro method Cα into the summability domain of another Cesàro method Cβ ,
Ants Aasma
doaj   +1 more source

On statistical convergence and strong Cesàro convergence by moduli for double sequences

Journal of Inequalities and Applications, 2022
A remarkable result on summability states that the statistical convergence and the strong Cesàro convergence are closely connected. Given a modulus function f, we will establish that a double sequence that is f-strong Cesàro convergent is always f ...
Fernando León-Saavedra, María del Carmen Listán-García, María del Pilar Romero de la Rosa   +2 more
doaj   +1 more source

Statistical Convergence of Double Sequences of Order

Journal of Function Spaces and Applications, 2013
We intend to make a new approach and introduce the concepts of statistical convergence of order and strongly -Cesàro summability of order for double sequences of complex or real numbers. Also, some relations between the statistical convergence of order
R. Çolak, Y. Altin
doaj   +1 more source

A study on absolute summability factors

Sakarya 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