Results 1 to 10 of about 64,006 (257)

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
doaj   +2 more sources

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
doaj   +3 more sources

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., Usanov F.A., Usarov D.M., Isaev G.U., Toshmatov E.S.   +4 more
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AN INTRODUCTION TO INFINITE SERIES [PDF]

مجلة القراءة والمعرفة, 2022
Perhaps the most widely used technique in the physicist’s toolbox is the use of infinite series (i.e. sums consisting formally of an infinite number of terms) to represent functions, to bring them to forms facilitating further analysis, or even as a ...
doaj   +1 more source

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, Jindal Rozy, Mishra Lakshmi Narayan   +2 more
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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, Robert Frontczak, Taras Goy   +2 more
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