Marcinkiewicz summability of Fourier series, Lebesgue points and strong summability
Sign Up to like & getrecommendations! Published in 2017 at "Acta Mathematica Hungarica"
DOI: 10.1007/s10474-017-0737-z
Abstract: Under some conditions on $${\theta}$$θ, we characterize the set of convergence of the Marcinkiewicz-$${\theta\mbox{-}}$$θ-means of a function $${f \in L_1(\mathbb{T}^d)}$$f∈L1(Td). More exactly, the $${\theta\mbox{-}}$$θ-means converge to f at each modified strong Lebesgue point. The same… read more here.
Keywords: summability; lebesgue points; lebesgue; marcinkiewicz ... See more keywords
Summability of Connected Correlation Functions of Coupled Lattice Fields
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DOI: 10.1007/s10955-018-2000-6
Abstract: We consider two nonindependent random fields $$\psi $$ψ and $$\phi $$ϕ defined on a countable set Z. For instance, $$Z=\mathbb {Z}^d$$Z=Zd or $$Z=\mathbb {Z}^d\times I$$Z=Zd×I, where I denotes a finite set of possible “internal degrees… read more here.
Keywords: ell clustering; psi phi; summability; correlation ... See more keywords
A New Note on Absolute Weighted Arithmetic Mean Summability
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DOI: 10.1134/s1995080218020051
Abstract: We generalize a known result dealing with absolute Riesz summability factors of infinite series by using a wider class of power increasing sequences. Some new and known results are also obtained. read more here.
Keywords: new note; absolute weighted; summability; weighted arithmetic ... See more keywords
Generalization of the space l(p)$l(p)$ derived by absolute Euler summability and matrix operators
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DOI: 10.1186/s13660-018-1724-9
Abstract: The sequence space l(p)$l(p)$ having an important role in summability theory was defined and studied by Maddox (Q. J. Math. 18:345–355, 1967). In the present paper, we generalize the space l(p)$l(p)$ to the space |Eϕr|(p)$\vert E_{\phi… read more here.
Keywords: euler; space; summability; derived absolute ... See more keywords
A Link between Approximation Theory and Summability Methods via Four-Dimensional Infinite Matrices
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DOI: 10.3390/math9161895
Abstract: In this study, we present a link between approximation theory and summability methods by constructing bivariate Bernstein-Kantorovich type operators on an extended domain with reparametrized knots. We use a statistical convergence type and power series… read more here.
Keywords: theory summability; summability; link approximation; summability methods ... See more keywords
On the summability methods of logarithmic type and the Berezin symbol
Sign Up to like & getrecommendations! Published in 2018 at "Turkish Journal of Mathematics"
DOI: 10.3906/mat-1803-37
Abstract: We prove by means of the Berezin symbols some theorems for the (L) -summability method for sequences and series. Also, we prove a new Tauberian type theorem for (L) -summability. read more here.
Keywords: type berezin; summability; methods logarithmic; summability methods ... See more keywords