On some inequalities for functions with nondecreasing increments

DOI10.1016/0022-247X(84)90287-7zbMath0597.26026OpenAlexW2103990450MaRDI QIDQ1078689

Josip E. Pečarić

Publication date: 1984

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(84)90287-7

zbMATH Keywords

majorization theoremfunctions with nondecreasing incrementsJensen- Steffensen and Brunk-Olkin inequalities

Mathematics Subject Classification ID

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

Related Items (18)

Difference equations related to majorization theorems via Montgomery identity and Green's functions with application to the Shannon entropy ⋮ Weighted majorization theorems via generalization of Taylor's formula ⋮ Some majorization integral inequalities for functions defined on rectangles ⋮ Weighted majorization inequalities for \(n\)-convex functions via extension of Montgomery identity using Green function ⋮ Generalized Jensen-Mercer inequality for functions with nondecreasing increments ⋮ Exponential convexity for majorization ⋮ On some inequalities for functions with nondecreasing increments of higher order ⋮ Refinements of the majorization theorems via Fink identity and related results ⋮ MAJORIZATION TYPE INEQUALITIES VIA GREEN FUNCTION AND HERMITE'S POLYNOMIAL ⋮ Some inequalities for generalized convex functions of several variables ⋮ On the Jensen-Steffensen inequality for generalized convex functions ⋮ A note on generalized Mercer's inequality ⋮ Positive semidefinite matrices, exponential convexity for majorization, and related Cauchy means ⋮ Some remarks on Lorenz ordering-preserving functionals ⋮ Unnamed Item ⋮ Integral majorization type inequalities for the functions in the sense of strong convexity ⋮ Majorization inequalities via Green functions and Fink's identity with applications to Shannon entropy ⋮ Generalized integral Niezgoda’s inequalities

Cites Work

• Integral inequalities for functions with nondecreasing increments
• Some inequalities for starshaped and convex functions
• Some complements of Hölder's inequality
• On an Inequality for Convex Functions
• Note on an Integral Inequality of Ky Fan and G. G. Lorentz
• An Inequality for Rearrangements
• Certain inequalities for concave functions and concave sequences
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