Results 11 to 20 of about 6,225 (300)
q-analogue of summability of formal solutions of some linear q-difference-differential equations [PDF]
Opuscula Mathematica, 2015 Let \(q\gt 1\). The paper considers a linear \(q\)-difference-differential equation: it is a \(q\)-difference equation in the time variable \(t\), and a partial differential equation in the space variable \(z\). Under suitable conditions and by using \(q\
Hidetoshi Tahara, Hiroshi Yamazawa
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Pythagorean harmonic summability of Fourier series
Demonstratio Mathematica, 2021 This paper explores the possibility for summing Fourier series nonlinearly via the Pythagorean harmonic mean. It reports on new results for this summability with the introduction of new concepts like the smoothing operator and semi-harmonic summation ...
Haidar Nassar H. S.
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Cesàro summability of Taylor series in higher order weighted Dirichlet-type spaces [PDF]
Opuscula MathematicaFor a positive integer \(m\) and a finite non-negative Borel measure \(\mu\) on the unit circle, we study the Hadamard multipliers of higher order weighted Dirichlet-type spaces \(\mathcal H_{\mu, m}\).
Soumitra Ghara +2 more
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Strong summability methods in a Riesz-type family; pp. 238–250 [PDF]
Proceedings 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, 70â80) and (Math. Model. Anal., 2010, 15, 103â112). Strong summability methods defined on the basis of
Anna Šeletski, Anne Tali
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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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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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I-cesàro summability of sequences of sets [PDF]
, 2017 In this paper, we de ned concept of Wijsman I-Cesàro summability for sequences of sets and investigate the relationships between the concepts of Wijsman strongly I-Cesàro summability, Wijsman strongly I-lacunary summability, Wijsman p-strongly I-Cesàro ...
Kişi, Ömer, Ulusu, Uğur
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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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