Approximation of functions by a class of Durrmeyer–Stancu type operators which includes Euler’s beta function [PDF]
Advances in Difference Equations, 2021 In this work, we construct the genuine Durrmeyer–Stancu type operators depending on parameter α in [ 0 , 1 ] $[0,1]$ as well as ρ > 0 $\rho >0$ and study some useful basic properties of the operators.
Abdullah Alotaibi +3 more
doaj +2 more sources
New fractional integral inequalities via Euler's beta function
Open Mathematics, 2023 In this article, we present new fractional integral inequalities via Euler’s beta function in terms of ss-convex mappings. We develop some new generalizations of fractional trapezoid- and midpoint-type inequalities using the class of differentiable ss ...
Almutairi Ohud Bulayhan
doaj +3 more sources
Euler's Beta function diagonalized and a related functional equation [PDF]
Opuscula Mathematica, 2004 Euler's Gamma function is the unique logarithmically convex solution of the functional equation \[\varphi(x+1)=x\varphi(x),\quad x\in\mathbb{R}_{+};\quad \varphi(1)=1,\] cf. the Proposition. In this paper we deal with the function \(\beta :\mathbb{R}_{+}\
Bodgan Choczewski, Anna Wach-Michalik
doaj +1 more source
Visualizing Fractional Integral Inequalities Using Euler’s Beta Function and Extended Convexity
Journal of Applied MathematicsIn this research article, we present various extensions and refinements of Hermite–Hadamard and related fractional integral inequalities by utilizing the unique characteristics of Euler’s beta and extended convex functions.
Muhammad Imran +5 more
doaj +2 more sources
ENCODING THE SCALING OF THE COSMOLOGICAL VARIABLES WITH THE EULER BETA FUNCTION [PDF]
International Journal of Modern Physics A, 2005 We study the scaling exponents for the expanding isotropic flat cosmological models. The dimension of space, the equation of state of the cosmic fluid and the scaling exponent for a physical variable are related by the Euler Beta function that controls the singular behavior of the global integrals.
Per, M. A., Seguí, A. J.
openaire +3 more sources
An Investigation on the Beta Function I: New Versions of the Euler Beta Function [PDF]
Bulletin of Mathematical Sciences and Applications, 2014 We developed new versions of the Euler beta function.
Edigles Guedes, Raja Rama Gandhi
openaire +1 more source
"On the generalized trapezoid and midpoint type inequalities involving Euler's beta function}"
Creative Mathematics and Informatics, 2022 "The main object of this paper is to present some generalizations of fractional integral inequalities involving Euler's beta function of Hermite-Hadamard type which cover the previously published result such as Riemann integral, Riemann-Liouville fractional integral, k-Riemann-Liouville fractional integral."
Sarikaya, Mehmet Zeki, Kozan, Gizem
openaire +1 more source
Euler’s Beta Function and Pentagon Relations [PDF]
Acta Mathematica Vietnamica, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
Extension of Euler's beta function
Journal of Computational and Applied Mathematics, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aslam Chaudhry, M. +3 more
openaire +1 more source
Euler Type Integrals and Integrals in Terms of Extended Beta Function [PDF]
Journal of Mathematics, 2014 We derive the evaluations of certain integrals of Euler type involving generalized hypergeometric series. Further, we establish a theorem on extended beta function, which provides evaluation of certain integrals in terms of extended beta function and certain special polynomials.
Subuhi Khan, Mustafa Walid Al-Saad
openaire +2 more sources