Results 11 to 20 of about 5,926 (300)
Orlicz–Pettis Theorem through Summability Methods [PDF]
Mathematics, 2019 This paper unifies several versions of the Orlicz−Pettis theorem that incorporate summability methods. We show that a series is unconditionally convergent if and only if the series is weakly subseries convergent with respect to a regular linear ...
Fernando León-Saavedra +2 more
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LACUNARY STATISTICAL HARMONIC SUMMABILITY [PDF]
, 2022 In this paper, the concepts of lacunary (H,1) summability, lacunary strongly harmonically summability, lacunary statistical (H,1) summability, lacunary statistical logarithmic convergence of sequences of real numbers are introduced and relations between ...
Nuray, Fatih
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Axioms, 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
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International 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
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A study on generalized absolute summability factors for a triangular matrix; pp. 115–120 [PDF]
Proceedings 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), 141â146.
Ekrem Savaş
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An Analogue for Strong Summability of Abel's Summability Method [PDF]
Proceedings of the Edinburgh Mathematical Society, 1953 Given a series Σan, we define , by the relationwhere is the binomial coefficient . Let . If , the series Σan is said to be summable (C; k) to the sum s. If k > 0, p ≥ 1 and if, as n → ∞,we say that the series Σan is summable [C; k, p] to the sum s, or that the series is strongly summable (C; k) with index p to the sum s. If denotes the difference ,
Harington, C. F., Hyslop, J. M.
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Journal 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 ...
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On Strong Approximation in Generalized Hölder and Zygmund Spaces
Computer 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
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A Study on Generalized Absolute Matrix Summability
Cumhuriyet Science Journal, 2022 In the present paper, generalized absolute matrix summability method of infinite series has been studied. A known theorem on IMI ,summability method has been generalized using the summability method of infinite series.
Ahmet Karakaş
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Proceedings of the American Mathematical Society, 1976 An integral on the set of natural numbers N N is defined. If
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