Generalizations of fractional Hermite-Hadamard-Mercer like inequalities for convex functions
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Dosyalar
Tarih
2021
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Amer Inst Mathematical Sciences-Aims
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this work, we establish inequalities of Hermite-Hadamard-Mercer (HHM) type for convex functions by using generalized fractional integrals. The results of our paper are the extensions and refinements of Hermite-Hadamard (HH) and Hermite-Hadamard-Mercer (HHM) type inequalities. We discuss special cases of our main results and give new inequalities of HH and HHM type for different fractional integrals like, Riemann-Liouville (RL) fractional integrals, k-Riemann-Liouville (k-RL) fractional integrals, conformable fractional integrals and fractional integrals of exponential kernel.
Açıklama
Anahtar Kelimeler
Hermite-Hadamard inequality, Hermite-Hadamard-Mercer inequality, Holder inequality, Jensen-Mercer inequality, convex functions, fractional integrals, Integral-Inequalities, Differentiable Mappings, Real Numbers
Kaynak
Aims Mathematics
WoS Q Değeri
Q1
Scopus Q Değeri
Q2
Cilt
6
Sayı
9
