Special cases of the regularisation of the conformal inversion transform by Cesàro summability

1990 ◽  
Vol 103 (12) ◽  
pp. 1681-1692 ◽  
Author(s):  
C. Basili ◽  
E. Etim ◽  
M. Pallotta
Keyword(s):  
Cesàro Summability ◽  
Cesaro Summability ◽  
Special Cases ◽  
Conformal Inversion

scholarly journals Results on Tauberian Theorem for Cesàro Summable Double Sequences of Fuzzy Numbers

2020 ◽  
Vol 44 (4) ◽  
pp. 495-508 ◽  
Author(s):  
B. B. Jena ◽  
S. K. PAIKRAY ◽  
P. PARIDA ◽  
H. DUTTA
Keyword(s):  
Tauberian Theorem ◽  
Fuzzy Numbers ◽  
Double Sequences ◽  
Cesàro Summability ◽  
Cesaro Summability ◽  
Special Cases ◽  
Sequences Of Fuzzy Numbers

The paper aims to establish new results on Tauberian theorem for Cesàro summability of double sequences of fuzzy numbers, and thus to extend and unify several results in the available literature. Further, a number of special cases, corollaries and illustrative example in support of the investigation of this paper are also presented.

scholarly journals Convergence follows from Cesàro summability in the case of slowly decreasing or slowly oscillating double sequences in certain senses

Filomat ◽  
2020 ◽  
Vol 34 (13) ◽  
pp. 4489-4511
Author(s):  
Zerrin Önder ◽  
İbrahim Çanak
Keyword(s):  
Double Sequence ◽  
Complex Numbers ◽  
Tauberian Theorems ◽  
Finite Limit ◽  
Double Sequences ◽  
Cesàro Summability ◽  
Tauberian Conditions ◽  
Summability Methods ◽  
Cesaro Summability ◽  
Special Cases

Let (u??) be a double sequence of real or complex numbers which is (C; 1; 1) summable to a finite limit. We obtain some Tauberian conditions of slow decreasing or oscillating types in terms of the generator sequences in certain senses under which P-convergence of a double sequence (u??) follows from its (C,1,1) summability. We give Tauberian theorems in which Tauberian conditions are of Hardy and Landau types as special cases of our results. We present some Tauberian conditions in terms of the de la Vall?e Poussin means of double sequences under which P-convergence of a double sequence (u??) follows from its (C,1,1) summability. Moreover, we give analogous results for (C,1,0) and (C,0,1) summability methods.

An Extension of a Theorem on Cesàro Summability

2021 ◽  
pp. 1-6
Author(s):  
Bağdagül Kartal
Keyword(s):  
Cesàro Summability ◽  
Cesaro Summability

scholarly journals Lebesgue points of $$\ell _1$$-Cesàro summability of d-dimensional Fourier series

2021 ◽  
Vol 6 (3) ◽  
Author(s):  
Ferenc Weisz
Keyword(s):  
Fourier Series ◽  
Lebesgue Point ◽  
Cesàro Means ◽  
Cesàro Summability ◽  
Cesaro Means ◽  
Cesaro Summability ◽  
Lebesgue Points ◽  
Cesáro Means

AbstractWe generalize the classical Lebesgue’s theorem and prove that the $$\ell _1$$ ℓ 1 -Cesàro means of the Fourier series of the multi-dimensional function $$f\in L_1({{\mathbb {T}}}^d)$$ f ∈ L 1 ( T d ) converge to f at each strong $$\omega $$ ω -Lebesgue point.

Multidimensional Linear Functional Connected with Double Strong Cesàro Summability

2020 ◽  
Vol 51 (1) ◽  
pp. 143-153
Author(s):  
Richard F. Patterson ◽  
Rabia Savas ◽  
Ekrem Savas
Keyword(s):  
Linear Functional ◽  
Cesàro Summability ◽  
Cesaro Summability ◽  
Multidimensional Linear

On the relation of generalized Valiron summability to Cesàro summability

1981 ◽  
Vol 90 (3) ◽  
pp. 181-193 ◽  
Author(s):  
V. K. Krishnan
Keyword(s):  
Cesàro Summability ◽  
Cesaro Summability

Some sequence spaces and completeness of normed spaces

2017 ◽  
Vol 26 (3) ◽  
pp. 281-287
Author(s):  
RAMAZAN KAMA ◽  
◽  
BILAL ALTAY ◽  
Keyword(s):  
Normed Space ◽  
Summability Method ◽  
Sequence Spaces ◽  
Normed Spaces ◽  
Cesàro Summability ◽  
Cesaro Summability

In this paper we introduce new sequence spaces obtained by series in normed spaces and Cesaro summability method. We prove that completeness ´ and barrelledness of a normed space can be characterized by means of these sequence spaces. Also we establish some inclusion relationships associated with the aforementioned sequence spaces.

scholarly journals Cesàro Summability of Two-Parameter Walsh–Fourier Series

1997 ◽  
Vol 88 (2) ◽  
pp. 168-192 ◽  
Author(s):  
Ferenc Weisz
Keyword(s):  
Fourier Series ◽  
Cesàro Summability ◽  
Cesaro Summability ◽  
Two Parameter
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