Statistical deferred weighted B $\mathcal{B}$-summability and its applications to associated approximation theorems [PDF]
Journal of Inequalities and Applications, 2018 The notion of statistical weighted B $\mathcal{B}$-summability was introduced very recently (Kadak et al. in Appl. Math. Comput. 302:80–96, 2017).
T. Pradhan +3 more
doaj +2 more sources
Tauberian theorems for weighted means of double sequences in intuitionistic fuzzy normed spaces [PDF]
Yugoslav Journal of Operations Research, 2022 We define weighted mean summability method of double sequences in intuitionistic fuzzy normed spaces(IFNS), and obtain necessary and sufficient Tauberian conditions under which convergence of double sequences in IFNS follows from their weighted mean ...
Narayan Mishra Lakshmi +3 more
doaj +1 more source
On the order of summability of the Fourier inversion formula [PDF]
, 2010 In this article we show that the order of the point value, in the sense of Łojasiewicz, of a tempered distribution and the order of summability of the pointwise Fourier inversion formula are closely related.
A. Denjoy +44 more
core +3 more sources
On the approximation of integrable functions by some special matrix means of Fourier series
Demonstratio Mathematica, 2017 The results concerninig pointwise approximation and product of summability methods corresponding to the theorems of Xh. Z. Krasniqi [Poincare J. Anal. Appl., 2014, 1, 1-8] and W. Łenski and B. Szal [Math. Slovaca, 2016, 66(6), 1-12] are generalized. Some
Kranz Radosława, Rzepka Aleksandra
doaj +1 more source
Ideal-quasi-Cauchy sequences [PDF]
, 2012 An ideal $I$ is a family of subsets of positive integers $\textbf{N}$ which is closed under taking finite unions and subsets of its elements.
Cakalli, Huseyin, Hazarika, Bipan
core +2 more sources
Exponential Operators, Dobinski Relations and Summability [PDF]
, 2005 We investigate properties of exponential operators preserving the particle number using combinatorial methods developed in order to solve the boson normal ordering problem.
A Gawron +10 more
core +3 more sources
Rainwater-Simons-type convergence theorems for generalized convergence methods [PDF]
, 2010 We extend the well-known Rainwater-Simons convergence theorem to various generalized convergence methods such as strong matrix summability, statistical convergence and almost convergence.
Hardtke, Jan-David
core +4 more sources
Approximation of Analytic Functions by Universal Vallee-Poussin Sums on the Chebyshev Polynomials
Известия Иркутского государственного университета: Серия "Математика", 2018 As it is known, Chebyshev polynomials provide the best uniform approach of a function. They are a special case of Faber polynomials. A. I. Shvay (1973) proved that the Vallee-Poussin sums are the best approach apparatus in comparison with the partial ...
L.K. Dodunova, A.A. Ageikin
doaj +1 more source
Journal of Function Spaces, 2015 The results generalizing some theorems on N, pnE, γ summability are shown. The same degrees of pointwise approximation as in earlier papers by weaker assumptions on considered functions and examined summability methods are obtained.
W. Łenski, B. Szal
doaj +1 more source
Sparse polynomial approximation of parametric elliptic PDEs. Part I: affine coefficients [PDF]
, 2016 We consider elliptic partial differential equations with diffusion coefficients that depend affinely on countably many parameters. We study the summability properties of polynomial expansions of the function mapping parameter values to solutions of the ...
Bachmayr, Markus +2 more
core +5 more sources