On new versions of Hermite-Hadamard-type inequalities based on tempered fractional integrals

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Tarih

2024

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Dergi ISSN

Cilt Başlığı

Yayıncı

Univ Nis, Fac Sci Math

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

This research is on the new versions of Hermite-Hadamard type inequalities. These inequalities established by means of convex mappings include tempered fractional integral operators. Obtaining these inequalities, well-known Holder inequality and power mean inequality are also utilized. The resulting Hermite-Hadamard type inequalities are a generalization of some of the studies on this subject, including Riemann-Liouville fractional integrals. What's more, new results are obtained through special choices.

Açıklama

Anahtar Kelimeler

. Hermite-Hadamard-type inequalities, trapezoid-type inequalities, midpoint-type inequalities, convex functions, frac-tional integrals, Riemann-Liouville fractional integrals, tempered fractional integrals, Differentiable Mappings, Real Numbers

Kaynak

Filomat

WoS Q Değeri

N/A

Scopus Q Değeri

Q3

Cilt

38

Sayı

7

Künye