Results 31 to 40 of about 664,619 (98)
The inherently low thermal conductivity of phase change materials (PCMs) in latent heat thermal energy storage (LHTES) systems hampers efficient heat transfer during melting and solidification processes. This study aims to enhance PCM thermal performance by optimizing fin geometry within a vertical double‐pipe heat exchanger, with a focus on inclined ...
Hosseinali Ramezanimouziraji +7 more
wiley +1 more source
We investigate the convergence and approximation properties of Cesàro means of Walsh‐type Fourier series for functions belonging to classes of weighted bounded variation. Working within the dyadic and 2‐adic framework, we establish new sufficient conditions under which Cesàro means exhibit improved stability and convergence behavior compared with ...
Anteneh Tilahun Adimasu, Shikha Binwal
wiley +1 more source
On Cesàro and Abel Summability Factors for Integrals
Many results have been obtained about factors transforming integrals summable by ordinary and absolute Cesàro methods of non-negative orders into integrals summable by such methods (see [4], [2], [6], [3]) and also into integrals summable by the ordinary
David Borwein, Brian Thorpe
core +1 more source
Some notes on matrix transforms of summability domains of Cesàro matrices [PDF]
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 ,
Aasma, Ants, Ants Aasma
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Fractional Whittaker Functions via a Fractional Kummer Equation
We develop a fractional analogue of the regular Whittaker function through a fractional Kummer equation constructed from the Caputo derivative and the associated fractional Euler operator Θα=xαCD0+α,01<α≤. The resulting fractional‐power series is governed by the sequence qnα=Γαn+1/Γαn−1+1,n≥10,q0α≔,which determines the coefficient recurrence ...
Muath Awadalla +2 more
wiley +1 more source
We introduce the notion of asymptotically weighted statistical equivalence of order α in probability for sequences of positive linear operators and study it within a Korovkin‐type approximation framework. The emphasis is not only on the convergence of a single operator sequence to a target function, but on the asymptotic comparison of two approximation
Hong-Wei Wang +4 more
wiley +1 more source
Diagonal Window Tests for Deferred Weighted Frequent Cauchy Sequences and Mean Coherence
This paper studies when a diagonal pairwise sampling condition of pre‐Cauchy type can be upgraded to a genuine convergence criterion in the deferred weighted setting. Working with the window system determined by (λ, μ), we introduce a diagonal pairwise framework and compare it with the corresponding two‐parameter Pringsheim measure on N×N.
Ameni Gargouri +4 more
wiley +1 more source
A theorem on the Cesàro summability method
In this paper we retrieve the backward Cesàro convergence of a real sequence u=(un) from the Cesàro summability of the general control modulo of the oscillatory behavior of integer order m of (un) under certain conditions. © 2010 Elsevier Ltd. All rights
Çanak I.
core +2 more sources
I2-Cesàro summability of double sequences of sets
In this paper, we defined concept of Wijsman I2-Cesàro summability and investigate the relationships between the concepts of Wijsman strongly I2-Cesàro summability, Wijsman strongly I2-lacunary convergence, Wijsman p-strongly I2-Cesàro summability ...
Gülle, Esra +2 more
core +1 more source
On multiplicative recurrence along linear patterns
Abstract Donoso, Le, Moreira, and Sun (J. Anal. Math. 149 (2023), 719–761) study sets of recurrence for actions of the multiplicative semigroup (N,×)$(\mathbb {N}, \times)$ and provide some sufficient conditions for sets of the form S={(an+b)/(cn+d):n∈N}$S=\lbrace (an+b)/(cn+d) \colon n \in \mathbb {N}\rbrace $ to be sets of recurrence for such actions.
Dimitrios Charamaras +2 more
wiley +1 more source

