Results 11 to 20 of about 16,815 (284)

Summable orbits

open access: yesJournal of Modern Dynamics, 2023
We introduce a class of orbits which may have $0$ Lyapunov exponents, but still demonstrate some sensitivity to initial conditions. We construct a countable Markov partition with a finite-to-one almost everywhere induced coding, and which lifts the geometric potential with summable variations (for a $C^{1+}$ diffeomorphism of a closed manifold of ...
openaire   +3 more sources

Summability Integrals [PDF]

open access: yesProceedings of the American Mathematical Society, 1976
An integral on the set of natural numbers N N is defined. If E E is a subset of N N such that the characteristic function χ E {\chi _E} of E E is evaluated to some number σ \sigma by a regular nonnegative ...
openaire   +1 more source

Strong summability methods in a Riesz-type family; pp. 238–250 [PDF]

open access: yesProceedings of the Estonian Academy of Sciences, 2011
We continue our studies on Riesz-type families of summability methods for functions and sequences, started in (Proc. Estonian Acad. Sci., 2008, 57, 70–80) and (Math. Model. Anal., 2010, 15, 103–112). Strong summability methods defined on the basis of
Anna Šeletski, Anne Tali
doaj   +1 more source

Steinhaus Type Theorem for Nörlund-(M, λn) and Nörlund-Euler-(M, λn) Methods of Summability in Non-Archimedean Fields

open access: yesInternational Journal of Analysis and Applications, 2023
In the present research paper, an investigation is undertaken of Steinhaus type theorems for Nörlund-(M, λn) and Nörlund-Euler(M, λn) method of summability in K, a complete non-trivially valued Non-Archimedean field.
E. Muthu Meena Lakshmanan, K. Suja
doaj   +1 more source

Ideals, Nonnegative Summability Matrices and Corresponding Convergence Notions: A Short Survey of Recent Advancements

open access: yesAxioms, 2021
In this survey article, we look into some recent results concerning summability matrices, both regular as well as those which are not regular (called semi-regular) and generated matrix ideals as the overall view of the inter relationship between the ...
Pratulananda Das
doaj   +1 more source

A study on generalized absolute summability factors for a triangular matrix; pp. 115–120 [PDF]

open access: yesProceedings of the Estonian Academy of Sciences, 2011
In this paper, we establish a summability factor theorem for summability |A, δ|k. This paper is an extension of the main result of Savas, E. A study on absolute summability factors for a triangular matrix. Math. Ineq. Appl., 2009, 12(19), 141–146.
Ekrem Savaş
doaj   +1 more source

On Strong Approximation in Generalized Hölder and Zygmund Spaces

open access: yesComputer Sciences & Mathematics Forum, 2023
The strong approximation of a function is a useful tool to analyze the convergence of its Fourier series. It is based on the summability techniques. However, unlike matrix summability methods, it uses non-linear methods to derive an auxiliary sequence ...
Birendra Singh, Uaday Singh
doaj   +1 more source

On the order of summability of the Fourier inversion formula [PDF]

open access: yes, 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

Distributional versions of Littlewood's Tauberian theorem [PDF]

open access: yes, 2010
We provide several general versions of Littlewood's Tauberian theorem. These versions are applicable to Laplace transforms of Schwartz distributions. We apply these Tauberian results to deduce a number of Tauberian theorems for power series where Ces\`{a}
A. E. Ingham   +27 more
core   +4 more sources

On the summability of divergent power series solutions for certain first-order linear PDEs [PDF]

open access: yesOpuscula Mathematica, 2015
This article is concerned with the study of the Borel summability of divergent power series solutions for certain singular first-order linear partial differential equations of nilpotent type. Our main purpose is to obtain conditions which coefficients of
Masaki Hibino
doaj   +1 more source

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