An inequality for 3-convex functions

DOI10.1016/0022-247X(82)90055-5zbMath0508.26008MaRDI QIDQ1837781

Josip E. Pečarić

Publication date: 1982

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

zbMATH Keywords

analogue of N. Levinson's inequalityinequality for 3-convex functions

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51)

Related Items (10)

The inequality of Ky Fan and related results ⋮ Inequalities involving multivariate convex functions ⋮ Generalized Jensen-Mercer inequality for functions with nondecreasing increments ⋮ Some inequalities involving means and their converses ⋮ On some inequalities for functions with nondecreasing increments of higher order ⋮ Some inequalities for generalized convex functions of several variables ⋮ On logarithmic convexity for Ky-Fan inequality ⋮ Some refinements of Ky Fan's inequality ⋮ Schur-convexity of averages of convex functions ⋮ A divided difference inequality for n-convex functions

Cites Work

• Generalization of an inequality of Ky Fan
• A criterion for \(n\)-convexity
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