Hermite-Hadamard-type integral inequalities for convex functions and their applications

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dc.contributor.authorSrivastava, H.M.
dc.contributor.authorMehrez, Sana
dc.contributor.authorSitnik, Sergei M.
dc.date.accessioned2022-11-04T17:49:53Z
dc.date.available2022-11-04T17:49:53Z
dc.date.copyright2022en_US
dc.date.issued2022
dc.description.abstractIn this paper, we establish new generalizations of the Hermite-Hadamard-type inequalities. These inequalities are formulated in terms of modules of certain powers of proper functions. Generalizations for convex functions are also considered. As applications, some new inequalities for the digamma function in terms of the trigamma function and some inequalities involving special means of real numbers are given. The results also include estimates via arithmetic, geometric and logarithmic means. The examples are derived in order to demonstrate that some of our results in this paper are more exact than the existing ones and some improve several known results available in the literature. The constants in the derived inequalities are calculated; some of these constants are sharp. As a visual example, graphs of some technically important functions are included in the text.en_US
dc.description.reviewstatusRevieweden_US
dc.description.scholarlevelFacultyen_US
dc.identifier.citationSrivastava, H. M., Mehrez, S., & Sitnik, S. M. (2022). “Hermite-Hadamard-type integral inequalities for convex functions and their applications.” Mathematics, 10(17), 3127. https://doi.org/10.3390/math10173127en_US
dc.identifier.urihttps://doi.org/10.3390/math10173127
dc.identifier.urihttp://hdl.handle.net/1828/14395
dc.language.isoenen_US
dc.publisherMathematicsen_US
dc.subjectHermite-Hadamard inequalityen_US
dc.subjectdigamma functionen_US
dc.subjecttrigamma functionen_US
dc.subjectabsolutely continuous mappingen_US
dc.subjectconvex functionen_US
dc.subjectarithmetic meanen_US
dc.subjectgeometric meanen_US
dc.subjectlogarithmic meanen_US
dc.titleHermite-Hadamard-type integral inequalities for convex functions and their applicationsen_US
dc.typeArticleen_US

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