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, cilt.7, sa.3, ss.1-12, 2023 (SCI-Expanded, SSCI, Scopus)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 7 Sayı: 3
• Basım Tarihi: 2023
• Doi Numarası: 10.3390/fractalfract7030216
• Dergi Adı: FRACTAL AND FRACTIONAL
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Social Sciences Citation Index (SSCI), Scopus, INSPEC, Directory of Open Access Journals
• Sayfa Sayıları: ss.1-12
• Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
• Atatürk Üniversitesi Adresli: Evet

Özet

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) $\mathrm{<span>function.\; We\; believe\; that\; the\; approach\; presented\; in\; this\; paper\; will\; inspire\; more\; research\; in\; this\; area.</span>}$