Results 11 to 20 of about 16,815 (284)
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 ...
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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 ...
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Strong summability methods in a Riesz-type family; pp. 238–250 [PDF]
We continue our studies on Riesz-type families of summability methods for functions and sequences, started in (Proc. Estonian Acad. Sci., 2008, 57, 70â80) and (Math. Model. Anal., 2010, 15, 103â112). Strong summability methods defined on the basis of
Anna Šeletski, Anne Tali
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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
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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
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A study on generalized absolute summability factors for a triangular matrix; pp. 115–120 [PDF]
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), 141â146.
Ekrem Savaş
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On Strong Approximation in Generalized Hölder and Zygmund Spaces
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
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On the order of summability of the Fourier inversion formula [PDF]
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
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Distributional versions of Littlewood's Tauberian theorem [PDF]
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
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On the summability of divergent power series solutions for certain first-order linear PDEs [PDF]
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
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