Turkish Journal of Mathematics and Computer Science

Turkish Journal of Mathematics and Computer Science

Hermite-Hadamard Type Inequalities Related to s-Convex Functions in the Third Sense

Yazarlar: Zeynep EKEN

Cilt 13 , Sayı 2 , 2021 , Sayfalar 318 - 330

Konular:Matematik

DOI:10.47000/tjmcs.909498

Anahtar Kelimeler:Hermite-Hadamard inequality,$s$-convex function in the third sense,Convexity

Özet: In this paper, some Hermite-Hadamard type inequalites for $s$-convex functions in the third sense are studied. It is established several new inequalities for functions whose derivative in absolute value and $p$th power of its derivative in absolute value are $s$-convex in the third sense. In addition, these inequalities are used to find an upper bound for error in numerical integration for this type of functions.


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BibTex
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@article{2021, title={Hermite-Hadamard Type Inequalities Related to s-Convex Functions in the Third Sense}, volume={13}, number={318–330}, publisher={Turkish Journal of Mathematics and Computer Science}, author={Zeynep EKEN}, year={2021} }
APA
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Zeynep EKEN. (2021). Hermite-Hadamard Type Inequalities Related to s-Convex Functions in the Third Sense (Vol. 13). Vol. 13. Turkish Journal of Mathematics and Computer Science.
MLA
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Zeynep EKEN. Hermite-Hadamard Type Inequalities Related to s-Convex Functions in the Third Sense. no. 318–330, Turkish Journal of Mathematics and Computer Science, 2021.