Inequalities for differences of powers

DOI10.1016/0022-247X(88)90205-3zbMath0649.26014OpenAlexW2069434012MaRDI QIDQ1105719

Zsolt Páles

Publication date: 1988

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(88)90205-3

zbMATH Keywords

inequalitiesLagrange interpolationextended mean valuesRolle's theorem

Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Inequalities for sums, series and integrals (26D15) Approximation by polynomials (41A10) Convexity of real functions in one variable, generalizations (26A51)

Related Items (27)

Estimating the Hardy constant of nonconcave Gini means ⋮ On comparison of Stolarsky and Gini means ⋮ Properties of the power-mean and their applications ⋮ Sharp approximations for the complete elliptic integrals of the second kind by one-parameter means ⋮ On new sharp bounds for the Toader-Qi mean involved in the modified Bessel functions of the first kind ⋮ LONG-RUN BEHAVIOR OF MULTIVARIATE MEANS ⋮ Inequalities for hyperbolic functions ⋮ A nice separation of some Seiffert-type means by power means ⋮ On the intersection of two-parameter mean value families ⋮ Comparison of means generated by two functions and a measure ⋮ On the monotonicity and log-convexity of a four-parameter homogeneous mean ⋮ Minkowski’s inequality for two variable difference means ⋮ Sharp inequalities for hyperbolic functions ⋮ Three families of two-parameter means constructed by trigonometric functions ⋮ On some functional inequalities related to the logarithmic mean ⋮ On the local and global comparison of generalized Bajraktarević means ⋮ Logarithmic convexity of extended mean values ⋮ A note on Schur-convexity of extended mean values ⋮ Computer aided solution of the invariance equation for two-variable Stolarsky means ⋮ Inequalities for cyclic functions ⋮ Functional equations involving means and Gauss compositions of means ⋮ A new chain of inequalities involving the Toader-Qi, logarithmic and exponential means ⋮ Characterizations of the equality of two-variable generalized quasiarithmetic means ⋮ Schur-convexity and Schur-geometrically concavity of Gini means ⋮ Refinements and extensions of an inequality. III ⋮ An extension of Stolarsky means to the multivariable case ⋮ Solution of an open problem for Schur convexity or concavity of the Gini mean values

Cites Work

• Extended mean values. II
• On inequalities for products of power sums
• Inequalities for integral mean values
• The Logarithmic Mean in n Variables
• The Power Mean and the Logarithmic Mean
• Generalizations of the Logarithmic Mean
• Extended Mean Values
• The Logarithmic Mean
• Some Generalizations of the Logarithmic Mean and of Similar Means of Two Variates Which Become Indeterminate When the Two Variates are Equal
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