Some Hermite–Hadamard type inequalities for the square norm in Hilbert spaces

DOI10.17951/a.2021.75.2.31-44OpenAlexW4312400380MaRDI QIDQ5076399

Sever Silvestru Dragomir

Publication date: 17 May 2022

Published in: Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.17951/a.2021.75.2.31-44

zbMATH Keywords

convex functionsHermite-Hadamard inequalitymidpoint inequalitypower and exponential functions

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Linear operator inequalities (47A63) Inequalities for sums, series and integrals (26D15)

Cites Work

• Convex functions, partial orderings, and statistical applications
• Operator Inequalities of the Jensen, Čebyšev and Grüss Type
• Operator Inequalities of Ostrowski and Trapezoidal Type
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