Extended Mean Values
From MaRDI portal
Publication:4159566
DOI10.2307/2321783zbMath0379.26012OpenAlexW4244641780MaRDI QIDQ4159566
Publication date: 1978
Published in: The American Mathematical Monthly (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2321783
Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Monotonic functions, generalizations (26A48) Inequalities involving derivatives and differential and integral operators (26D10) Other analytical inequalities (26D20)
Related Items (43)
On Jessen's inequality for convex functions. II ⋮ Properties of the power-mean and their applications ⋮ Limit theorems for logarithmic means ⋮ A new approach to means of two positive numbers ⋮ Integral inequalities for concave functions with applications to special functions ⋮ Monotonicity of the ratio for the complete elliptic integral and Stolarsky mean ⋮ Means that minimize relative error, and an associated integral equation ⋮ A simple proof of logarithmic convexity of extended mean values ⋮ Inequalities for elementary means. ⋮ Monotonicity and absolute monotonicity for the two-parameter hyperbolic and trigonometric functions with applications ⋮ Inequalities for differences of powers ⋮ Generalization of an inequality for nondecreasing sequences ⋮ A mean value inequality for the cyclic functions ⋮ Integral representations of bivariate complex geometric mean and their applications ⋮ The Hasegawa-Petz mean: properties and inequalities ⋮ Equality of two-variable functional means generated by different measures ⋮ Inequalities for hyperbolic functions ⋮ Consistency of local density approximations and quantum corrections for time-dependent quantum systems ⋮ On the intersection of two-parameter mean value families ⋮ On the monotonicity and log-convexity of a four-parameter homogeneous mean ⋮ Asymptotics of compound means ⋮ Minkowski’s inequality for two variable difference means ⋮ Three families of two-parameter means constructed by trigonometric functions ⋮ Schur-convexity of averages of convex functions ⋮ On an inequality for nondecreasing sequences ⋮ On weighted extensions of Cauchy's means ⋮ On the local and global comparison of generalized Bajraktarević means ⋮ The inequality of Milne and its converse. II ⋮ Logarithmic convexity of extended mean values ⋮ A note on Schur-convexity of extended mean values ⋮ A simple proof of monotonicity for extended mean values ⋮ Characterizations of the equality of two-variable generalized quasiarithmetic means ⋮ Multi-variable extended mean values ⋮ Refinements and extensions of an inequality. III ⋮ Means produced by distances ⋮ Solution of an open problem for Schur convexity or concavity of the Gini mean values ⋮ Means and nonreal intersection points of Taylor polynomials ⋮ Extended mean values. II ⋮ A Geometric Generalization of the Pythagorean Means ⋮ Series expansions of means ⋮ Über eine zweiparametrige Familie von Mittelwerten. (On a two- parametric family of means) ⋮ Ungleichungen für Mittelwerte. (Inequalities for means) ⋮ Generalizations of Steffensen's inequality via Taylor's formula
This page was built for publication: Extended Mean Values
