Results 1 to 10 of about 176 (63)
Multiple fractional part integrals and Eulers constant [PDF]
, 2016 where fxg denotes the fractional part of x and k;m and p are nonnegative integers. We show that these integrals can be expressed as series involving products of Riemann zeta function values and some binomial coefficients.
Furdui, Ovidiu
core +2 more sources
A multilinear Rellich inequality
Mathematical Inequalities & Applications, 2021 . We prove a multilinear variant of the Rellich inequality on the real line. In particular, we establish the weighted inequality with a positive function w on ( 0 , b − a )) , where − ∞ (cid:2) a < b (cid:2) + ∞ , m is a positive integer, δ ( x ) = min {
D. Edmunds, A. Meskhi
semanticscholar +1 more source
Demonstratio Mathematica, 2023 The Hermite-Hadamard inequality is regarded as one of the most favorable inequalities from the research point of view. Currently, mathematicians are working on extending, improving, and generalizing this inequality.
Saeed Tareq +4 more
doaj +1 more source
Demonstratio Mathematica, 2022 In this note, we derive a finite summation formula and an infinite summation formula involving Harmonic numbers of order up to some order by means of several definite integrals.
Kim Taekyun +3 more
doaj +1 more source
About the Use of Generalized Forms of Derivatives in the Study of Electromagnetic Problems
Applied Sciences, 2021 The use of non-local operators, defining Riemann–Liouville or Caputo derivatives, is a very useful tool to study problems involving non-conventional diffusion problems.
Giulio Antonini +4 more
doaj +1 more source
Some identities on generalized harmonic numbers and generalized harmonic functions
Demonstratio Mathematica, 2023 The harmonic numbers and generalized harmonic numbers appear frequently in many diverse areas such as combinatorial problems, many expressions involving special functions in analytic number theory, and analysis of algorithms.
Kim Dae San, Kim Hyekyung, Kim Taekyun
doaj +1 more source
Inequalities of trapezoidal type involving generalized fractional integrals
Alexandria Engineering Journal, 2020 During the last years several fractional integrals were investigated. Having this idea in mind, in the present article, some new generalized fractional integral inequalities of the trapezoidal type for λφ–preinvex functions, which are differentiable and ...
Dumitru Baleanu +2 more
doaj +1 more source
Majorization and refinements of Hermite-Hadamard inequality
, 2020 In this note we use majorization methods to derive and analyze refinements of HermiteHadamard inequality for a convex function. Mathematics subject classification (2010): 26A42, 26A51, 26D15.
M. Niezgoda
semanticscholar +1 more source
RIEMANN-STIELTJES INTEGRABILITY OF FINITE DISCONTINUOUS FUNCTIONS ON TIME SCALES [PDF]
, 2023 We establish the equivalence of the Riemann-Stieltjes $\Delta$-integral as defined in \cite{Delfim1, Delfim2} in terms of the Darboux sum definition and the Riemann sum definition, and provide the definition of the Riemann-Stieltjes $\nabla$-integral in ...
Bharali, Hemen +2 more
core +1 more source
Riemann-Stieltjes Integral [PDF]
, 2016 In this article, the definitions and basic properties of Riemann-Stieltjes integral are formalized in Mizar [1]. In the first section, we showed the preliminary definition. We proved also some properties of finite sequences of real numbers. In Sec. 2, we
Nakasho, Kazuhisa +2 more
core +2 more sources