New estimates of Gauss-Jacobi and trapezium type inequalities for strongly (h(1), h(2))-preinvex mappings via general fractional integrals
Yükleniyor...
Dosyalar
Tarih
2021
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Semnan Univ
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, authors discover two interesting identities regarding Gauss-Jacobi and trapezium type integral inequalities. By using the first lemma as an auxiliary result, some new bounds with respect to Gauss-Jacobi type integral inequalities for a new class of functions called strongly (h(1), h(2))-preinvex of order sigma> 0 with modulus mu > 0 via general fractional integrals are established. Also, using the second lemma, some new estimates with respect to trapezium type integral inequalities for strongly (h(1), h(2))-preinvex functions of order mu> 0 with modulus mu > 0 via general fractional integrals are obtained. It is pointed out that some new special cases can be deduced from main results. Some applications to special means for different real numbers and new approximation error estimates for the trapezoidal are provided as well. These results give us the generalizations of some previous known results. The ideas and techniques of this paper may stimulate further research in the fascinating field of inequalities.
Açıklama
Anahtar Kelimeler
Hermite-Hadamard inequality, Gauss-Jacobi type quadrature formula, Holder inequality, power mean inequality, general fractional integrals, Hadamard Type Inequalities, Simpson Type, Convex
Kaynak
International Journal Of Nonlinear Analysis And Applications
WoS Q DeÄŸeri
N/A
Scopus Q DeÄŸeri
Cilt
12
Sayı
1
