Some properties of a hypergeometric function which appear in an approximation problem

DOI10.1007/s10898-012-0016-zzbMath1281.26010OpenAlexW2072417826WikidataQ115058703 ScholiaQ115058703MaRDI QIDQ386460

Gradimir V. Milovanović, Michael Th. Rassias

Publication date: 9 December 2013

Published in: Journal of Global Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10898-012-0016-z

zbMATH Keywords

gamma functionexpansionapproximationhypergeometric functionmaximumminimumdigamma functionTurán type inequality

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Inequalities for sums, series and integrals (26D15) Classical hypergeometric functions, ({}_2F_1) (33C05) Inequalities involving other types of functions (26D07)

Related Items (14)

A half-discrete Hilbert-type inequality in the whole plane related to the Riemann zeta function ⋮ A half-discrete Hilbert-type inequality in the whole plane with multiparameters ⋮ Equivalent conditions of a multiple Hilbert-type integral inequality with the nonhomogeneous kernel ⋮ Direct estimates for certain Szász type operators ⋮ On a Half-Discrete Hilbert-Type Inequality in the Whole Plane with the Kernel of Hyperbolic Secant Function Related to the Hurwitz Zeta Function ⋮ A NEW HALF-DISCRETE HILBERT-TYPE INEQUALITY IN THE WHOLE PLANE ⋮ On a Half-Discrete Hilbert-Type Inequality in the Whole Plane with the Hyperbolic Tangent Function and Parameters ⋮ Multiple Parameterize Yang-Hilbert-Type Integral Inequalities ⋮ Parameterized Yang–Hilbert-Type Integral Inequalities and Their Operator Expressions ⋮ A more accurate half-discrete Hilbert-type inequality in the whole plane and the reverses ⋮ A Hilbert-type integral inequality in the whole plane related to the hypergeometric function and the beta function ⋮ Approximation with certain genuine hybrid operators ⋮ A reverse Mulholland-type inequality in the whole plane with multi-parameters ⋮ Approximation by generalized Srivastava-Gupta operators based on certain parameter

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Sharp Turán inequalities via very hyperbolic polynomials
• Turán type inequalities for Krätzel functions
• Turán type inequalities for generalized complete elliptic integrals
• Functional inequalities involving Bessel and modified Bessel functions of the first kind
• A note on Turán type and mean inequalities for the Kummer function
• On Turán's inequality for Legendre polynomials
• In memory of Paul Turan
• A Turán-type inequality for the gamma function
• Monotonicity properties of determinants of special functions
• Gaussian quadrature rules with an exponential weight on the real semiaxis
• Interpolation Processes
• Turán type inequalities for hypergeometric functions
• A Turán Inequality Arising in Information Theory
• On an inequality of P. Turán concerning Legendre polynomials

This page was built for publication: Some properties of a hypergeometric function which appear in an approximation problem