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A new proof of monotonicity for extended mean values

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Publication:1301935
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DOI10.1155/S0161171299224179zbMath0935.26015OpenAlexW2000462044MaRDI QIDQ1301935

Sen-Lin Xu, Feng Qi, Lokenath Debnath

Publication date: 3 May 2000

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/48382


zbMATH Keywords

monotonicitymeans and their inequalitiesChebychev's integral inequality


Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Means (26E60) Monotonic functions, generalizations (26A48)


Related Items (7)

Some properties of extended remainder of binet’s first formula for logarithm of gamma function ⋮ The Function (b x − a x )∕x: Ratio’s Properties ⋮ Refinements of lower bounds for polygamma functions ⋮ Logarithmic convexity of extended mean values ⋮ A note on Schur-convexity of extended mean values ⋮ Refinements and extensions of an inequality. III ⋮ Generalization of Bernoulli polynomials







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