Geodesic
Some refinements and reverses about the Hermite-Hadamard inequalities for pointwise convex maps involving functional arguments
Filomat, Tome 36 (2022) no. 11, p. 3875

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DOI

Intensive studies aiming to extend the Hermite-Hadamard inequalities and to explore some properties and applications of these inequalities have been recently carried out. The contribution of this paper falls within this framework. We investigate some refinements and reverses for the Hermite-Hadamard inequalities when the integrand map is pointwise convex in its functional arguments. Our theoretical results obtained here immediately imply those of operator versions without referring to the techniques of the operator theory.
DOI : 10.2298/FIL2211875R
Classification : 46N10, 47A63, 47A64
Keywords: Hermite-Hadamard inequalities, convex analysis, pointwise convex maps, pointwise inequalities, operator inequalities 
Mustapha Raïssouli. Some refinements and reverses about the Hermite-Hadamard inequalities for pointwise convex maps involving functional arguments. Filomat, Tome 36 (2022) no. 11, p. 3875 . doi: 10.2298/FIL2211875R
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     title = {Some refinements and reverses about the {Hermite-Hadamard} inequalities for pointwise convex maps involving functional arguments},
     journal = {Filomat},
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     year = {2022},
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     number = {11},
     doi = {10.2298/FIL2211875R},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2211875R/}
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