New Hadamard Type Inequalities for Modified h-Convex Functions

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Breaz D., Yıldız Ç., Cotîrlă L., Rahman G., Yergöz B.

FRACTAL AND FRACTIONAL, vol.7, no.3, pp.1-12, 2023 (SCI-Expanded, SSCI, Scopus)

• Publication Type: Article / Article
• Volume: 7 Issue: 3
• Publication Date: 2023
• Doi Number: 10.3390/fractalfract7030216
• Journal Name: FRACTAL AND FRACTIONAL
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Social Sciences Citation Index (SSCI), Scopus, INSPEC, Directory of Open Access Journals
• Page Numbers: pp.1-12
• Open Archive Collection: AVESIS Open Access Collection
• Ataturk University Affiliated: Yes

Abstract

In this article, we demonstrated various Hermite–Hadamard and Fejér type inequalities for modified h-convex functions. We showed several inequalities for the products of two modified h-convex functions. New identities related to inequalities in various forms are also established for different values of the h(v) $\mathrm{<span>function.\; We\; believe\; that\; the\; approach\; presented\; in\; this\; paper\; will\; inspire\; more\; research\; in\; this\; area.</span>}$