Hermite-Hadamard type fractional integral inequalities for generalized (r; g,s,m,φ)-preinvex functions

• Autorzy: Kashuri A. , Liko R.
• Języki publikacji: EN

Abstrakty

EN

In the present paper, a new class of generalized (r; g, s, m, ϕ)-preinvex functions is introduced and some new integral inequalities for the left hand side of Gauss-Jacobi type quadrature formula involving generalized (r; g, s, m, ϕ)-preinvex functions are given. Moreover, some generalizations of Hermite-Hadamard type inequalities for generalized (r; g, s, m, ϕ)-preinvex functions via Riemann-Liouville fractional integrals are established. These results not only extend the results appeared in the literature (see [1],[2]), but also provide new estimates on these types.

Słowa kluczowe

EN

Hölder inequality; Minkowski inequality; Cauchy inequality; power mean inequality; m-invex; P-function; Hermite-Hadamard type inequalities; Riemann-Liouville integral; s-convex functions in the second sense

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2017
• Tom: Nr 59
• Strony: 43--55
• Opis fizyczny: Bibliogr. 14 poz.

Twórcy

autor

Kashuri A.

• Department of Mathematics, Faculty of Technical Science, University ”Ismail Qemali” Vlora, Albania

autor

Liko R.

• Department of Mathematics, Faculty of Technical Science, University ”Ismail Qemali” Vlora, Albania

Bibliografia

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