Absolute φ − | C , α , β ; δ | k $\varphi- \vert C, \alpha, \beta; \delta\vert _{k}$ summability of infinite series [PDF]
Journal of Inequalities and Applications, 2017 In this paper, we established a generalized theorem on a minimal set of sufficient conditions for absolute summability factors by applying a sequence of a wider class (quasi-power increasing sequence) and the absolute Cesàro φ − | C , α , β ; δ | k ...
Smita Sonker, Alka Munjal
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Evaluation of Infinite Series by Integrals
Mathematics, 2022 We examine a large class of infinite triple series and establish a general summation formula. This is done by expressing the triple series in terms of definite integrals involving arctangent function that are evaluated in turn in closed forms.
Chunli Li, Wenchang Chu
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Estimation of the stress-strain state of orthotropic plates on elastic foundation using the bimoment theory [PDF]
E3S Web of Conferences, 2023 The study is devoted to the development of the bimoment theory and the method for calculating thick plates in the framework of the three-dimensional theory of elasticity.
Usarov M.K. +4 more
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Infinite Series Based on Bessel Zeros
Applied Sciences, 2023 An interesting series based on Bessel function roots (zeros) is discussed and numerically analyzed. The novel-derived simplified general solutions are based on Lommel polynomials.
Kamil Urbanowicz
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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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Notes regarding classical Fourier series
Journal of Numerical Analysis and Approximation Theory, 2023 A survey of some classical results from the theory of trigonomtrical series is presented, especially the case of Fourier series. Some new proofs are presented, and Riemann's theory of trigonometrical series is is given special attention.
Paul Bracken
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Cesàro Summability Involving $\delta$-Quasi-Monotone and Almost Increasing Sequences
Journal of New Theory, 2022 This paper generalises a well-known theorem on ${\mid{C},\rho\mid}_\kappa$ summability to the $\varphi-{\mid{C},\rho;\beta\mid}_\kappa$ summability of an infinite series using an almost increasing and a $\delta$-quasi monotone sequence.
Bağdagül Kartal
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Application of quasi-f -power increasing sequence in absolute ph - |C, a, b; d; l| of infinite series [PDF]
Mathematica Moravica, 2021 An increasing quasi-f-power sequence of a wider class has been used to establish a universal theorem on a least set of conditions, which is sufficient for an infinite series to be generalized ph-|C, a, b; d; l| k summable.
Sonker Smita +2 more
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Nonholonomic frames for Finsler space with deformed infinite series of (α,β) metric [PDF]
Journal of Hyperstructures, 2023 The purpose of present paper to determine the Finsler spaces due to deformation of special Finsler (α, β) -metric. Consequently, we obtained the non-holonomic frame with the help of α2=aij(x)yiyj, one form metric β=bi(x)yi and infinite series of (α, β ...
Brijesh Kumar Tripathi, V. K. Chaubey
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On a Family of Infinite Series with Reciprocal Catalan Numbers
Axioms, 2022 We study a certain family of infinite series with reciprocal Catalan numbers. We first evaluate two special candidates of the family in closed form, where we also present some Catalan–Fibonacci relations.
Kunle Adegoke +2 more
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