On generalizations of trapezoid and Bullen type inequalities based on generalized fractional integrals
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Dosyalar
Tarih
2022
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Amer Inst Mathematical Sciences-Aims
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, we establish an integral identity involving differentiable functions and generalized fractional integrals. Then, using the newly established identity, we prove some new general versions of Bullen and trapezoidal type inequalities for differentiable convex functions. The main benefit of the newly established inequalities is that they can be converted into similar inequalities for classical integrals, Riemann-Liouville fractional integrals, k-Riemann-Liouville fractional integrals, Hadamard fractional integrals, etc. Moreover, the inequalities presented in the paper are extensions of several existing inequalities in the literature.
Açıklama
Anahtar Kelimeler
Hermite-Hadamard Inequality; Fractional Integral Operators; Convex Function, Hadamard-Type Inequalities; Hermite-Hadamard; Differentiable Mappings; Real Numbers
Kaynak
Aims Mathematics
WoS Q Değeri
Q1
Scopus Q Değeri
Q2
Cilt
8
Sayı
1
