IMPROVEMENTS ON SOME INEQUALITIES OF HERMITE HADAMARD INEQUALITIES FOR FUNCTIONS WHEN A POWER OF THE ABSOLUTE VALUE OF THE SECOND DERIVATIVE h AND P-CONVEX

In this paper, firstly we obtain some improvements of Hermite-Hadamard integral inequalities via h and P-convex by using Holder-Iscan inequality. Secondly new results are established. Thirdly, we determine some new inequalities for functions when a power of the absolute value of second derivatives a...

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Bibliographic Details
Published inTWMS journal of applied and engineering mathematics Vol. 11; no. 1; p. 89
Main Authors Unluyol, Erdal, Salas, Seren, Dalkun, Gorkem
Format Journal Article
LanguageEnglish
Published Istanbul Turkic World Mathematical Society 01.01.2021
Elman Hasanoglu
Subjects
Absolute value
Convex functions
Engineering research
Hadamard matrices
Inequalities
Inequalities (Mathematics)
Mathematical research
Turkey
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Summary:In this paper, firstly we obtain some improvements of Hermite-Hadamard integral inequalities via h and P-convex by using Holder-Iscan inequality. Secondly new results are established. Thirdly, we determine some new inequalities for functions when a power of the absolute value of second derivatives are h and P-convex. Finally they are compared with the old ones. Keywords:Holder-Iscan integral inequality, improved power-mean integral inequality, Hermite Hadamard integral inequality, h and P-convexity. AMS Subject Classification: 26A51, 26D10, 26D15
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
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ISSN:2146-1147
2146-1147