Results 11 to 20 of about 4,804,838 (283)

Infinite Series Representation of Functions in Fractional Calculus [PDF]

open access: yesACM Cloud and Autonomic Computing Conference, 2019
This paper focuses on the equivalent expression of fractional integrals/derivatives with an infinite series. A universal framework for fractional Taylor series is developed by expanding an analytic function at the initial instant or the current time. The
Yiheng Wei   +3 more
semanticscholar   +1 more source

Infinite series containing generalized harmonic functions

open access: yesNotes on Number Theory and Discrete Mathematics, 2020
: We use Abel’s summation formula and the method of partial fraction decomposition to study infinite series involving generalized harmonic numbers of any positive integral order, with any positive integral power.
Kwang-Wu Chen, Yi‐Hsuan Chen
semanticscholar   +1 more source

Application of quasi-f -power increasing sequence in absolute ph - |C, a, b; d; l| of infinite series [PDF]

open access: yesMathematica 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
doaj   +1 more source

The genetic decomposition of students about infinite series through the ethnomathematics of Bengkulu, Indonesia

open access: yesJournal of Physics: Conference Series, 2020
The cognitive theory views individuals as active information processors, so that individuals were able to represent each information according to the level of knowledge they have.
W. Widada   +4 more
semanticscholar   +1 more source

A Study on Generalized Absolute Matrix Summability

open access: yesCumhuriyet 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
doaj   +1 more source

Notes regarding classical Fourier series

open access: yesJournal 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
doaj   +1 more source

Nonholonomic frames for Finsler space with deformed infinite series of (α,β) metric [PDF]

open access: yesJournal 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
doaj   +1 more source

Cesàro Summability Involving $\delta$-Quasi-Monotone and Almost Increasing Sequences

open access: yesJournal 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
doaj   +1 more source

p-Adic Invariant Summation of Some p-Adic Functional Series [PDF]

open access: yes, 2014
We consider summation of some finite and infinite functional p-adic series with factorials. In particular, we are interested in the infinite series which are convergent for all primes p, and have the same integer value for an integer argument.
Dragovich, Branko, Misic, Natasa Z.
core   +2 more sources

Expansion of multiple series in infinite diagonals

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2013
In this paper a method of summation of double absolutely convergent numerical series was obtained. This method was named the expansion of double numerical series in infinite diagonals.
Anton A Korneev, Olga A Doroshkevich
doaj   +1 more source

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