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Journals / Konuralp Journal of Mathematics / 2017 / Cilt: 5 - Sayı: 2

HERMITE-HADAMARD AND HERMITE-HADAMARD-FEJER TYPE INEQUALITIES FOR (k, h)-CONVEX FUNCTION VIA KATUGAMPOLA FRACTIONAL INTEGRALS

ERHAN SET
ALİ KARAOĞLAN
Pages
181–191
Publication Date
2017-10-15
DOI
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⚡ TL;DR(Too Long; Didn't Read)

In this paper, we obtain some new Hermite-Hadamard and Hermite-Hadamard-Fejer type inequalities for (k,h)-convex functions via Katugampola fractionals which are a generalization of Riemann-Liouville and the Hadamard fractional integrals in to a single form.

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Objective & Hypothesis:In this paper, we obtain some new Hermite-Hadamard and Hermite-Hadamard-Fejer type inequalities for (k,h)-convex functions via Katugampola fractionals which are a generalization of Riemann-Liouville and the Hadamard fractional integrals in to a single form.
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Key Findings & Data:In this paper, we obtain some new Hermite-Hadamard and Hermite-Hadamard-Fejer type inequalities for (k,h)-convex functions via Katugampola fractionals which are a generalization of Riemann-Liouville and the Hadamard fractional integrals in to a single form.
💡
Conclusion & Impact:In this paper, we obtain some new Hermite-Hadamard and Hermite-Hadamard-Fejer type inequalities for (k,h)-convex functions via Katugampola fractionals which are a generalization of Riemann-Liouville and the Hadamard fractional integrals in to a single form.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Hermite-Hadamard-Fejer inequality · Riemann-Liouville fractional integrals · Hadamard fractional integrals

Abstract

In this paper, we obtain some new Hermite-Hadamard and Hermite-Hadamard-Fejer type inequalities for (k,h)-convex functions via Katugampola fractionals which are a generalization of Riemann-Liouville and the Hadamard fractional integrals in to a single form.

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Cite This Article

SET, E., KARAOĞLAN, A. (2017). HERMITE-HADAMARD AND HERMITE-HADAMARD-FEJER TYPE INEQUALITIES FOR (k, h)-CONVEX FUNCTION VIA KATUGAMPOLA FRACTIONAL INTEGRALS. Konuralp Journal of Mathematics, Cilt: 5 - Sayı: 2, 181–191. https://ajindex.com/articles/786616

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