Results 41 to 50 of about 442,598 (177)

Arithmetic Identities Involving Bernoulli and Euler Numbers

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2012
The purpose of this paper is to give some arithmatic identities for the Bernoulli and Euler numbers. These identities are derived from the several p-adic integral equations on ℤp.
H.-M. Kim, D. S. Kim
doaj   +1 more source

Integral Formulae of Bernoulli and Genocchi Polynomials

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2012
Recently, some interesting and new identities are introduced in the work of Kim et al. (2012). From these identities, we derive some new and interesting integral formulae for Bernoulli and Genocchi polynomials.
Seog-Hoon Rim   +2 more
doaj   +1 more source

Hermite–Jensen–Mercer-Type Inequalities via Caputo–Fabrizio Fractional Integral for h-Convex Function

open access: yesFractal and Fractional, 2021
Integral inequalities involving many fractional integral operators are used to solve various fractional differential equations. In the present paper, we will generalize the Hermite–Jensen–Mercer-type inequalities for an h-convex function via a Caputo ...
Miguel Vivas-Cortez   +4 more
doaj   +1 more source

BOUNDARY CHARACTERISTICS IN HEAT-CONDUCTION PROBLEMS. ANALYSIS OF ACCURACY AND CONVERGENCE OF SOLUTIONS

open access: yesВесці Нацыянальнай акадэміі навук Беларусі: Серыя фізіка-тэхнічных навук, 2016
Results of numerical analysis of accuracy and convergence of solutions on the basis of the integral method of boundary characteristics are presented.
V. A. KOT
doaj  

On Certain Ostrowski Type Integral Inequalities Involving Atangana-Baleanu Katugampola Fractional Integral Operator for Convex Function with Applications [PDF]

open access: yesSahand Communications in Mathematical Analysis
In this paper, new generalized variants of Ostrowski’s type identities involving the Atangana-Baleanu-Katugampola fractional integral operator for differentiable convex and twice differentiable convex functions are presented.
Artion Kashuri   +2 more
doaj   +1 more source

New Estimates on Hermite–Hadamard Type Inequalities via Generalized Tempered Fractional Integrals for Convex Functions with Applications

open access: yesFractal and Fractional, 2023
This paper presents a novel approach by introducing a set of operators known as the left and right generalized tempered fractional integral operators.
Artion Kashuri   +3 more
doaj   +1 more source

A METHOD OF BOUNDARY CHARACTERISTICS BASED ON THE HEAT-BALANCE INTEGRAL IN HEAT-CONDUCTION PROBLEMS

open access: yesВесці Нацыянальнай акадэміі навук Беларусі: Серыя фізіка-тэхнічных навук, 2016
On the basis of systems of identical equalities formed by 2n-multiple integrals of the desired temperature function and integral boundary characteristics, analytical solutions of the boundary problem on the nonstationary heat conduction of an extended ...
V. A. Kot
doaj  

Mellin Transform of Weierstrass Zeta Function and Integral Representations of Some Lambert Series

open access: yesMathematics
We consider a series which combines two Dirichlet series constructed from the coefficients of a Laurent series and derive a general integral representation of the series as a Mellin transform.
Namhoon Kim
doaj   +1 more source

On the generalization of Hermite-Hadamard type inequalities for E`-convex function via fractional integrals

open access: yesHeliyon
The main motivation in this article is to prove new integral identities and related results. In this paper, we deal with E`-convex function, Hermite-Hadamard type inequalities, and Katugampola fractional integrals.
Muhammad Sadaqat Talha   +5 more
doaj   +1 more source

Some Remarks on Results Related to ∇-Convex Function

open access: yesJournal of Mathematical and Fundamental Sciences, 2021
In the present article, we give new techniques for proving general identities of the Popoviciu type for discrete cases of sums for two dimensions using higher-order ∇-divided difference.
Asif Raza Khan   +3 more
doaj   +1 more source

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