On Hölder's inequalities for convexity

DOI10.1016/0022-247X(89)90051-6zbMath0688.26010MaRDI QIDQ1263689

Guang-Rong You

Publication date: 1989

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

zbMATH Keywords

convex functionconvex setconesHölder inequalityKantorovich inequalitygaugeMinkowski inequalityCauchy-Schwartz inequalitycomplementary inequalities

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Convexity of real functions of several variables, generalizations (26B25) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (1)

Generalization of the power means and their inequalities

Cites Work

• Complementary inequalities. I: Inequalities complementary to Cauchy's inequality for sums of real numbers. II: Inequalities complementary to the Buniakowsky-Schwarz inequality for integrals. III: Inequalities complementary to Schwarz's inequality in Hilbert space
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