Hermite-Hadamard type inequalities for MT_m-preinvex functions

• Autorzy: Kashuri A. , Liko R.

Identyfikatory

DOI

10.1515/fascmath-2017-0006

• Języki publikacji: EN

Abstrakty

EN

In the present paper, the notion of MT_m-preinvex function is introduced and some new integral inequalities for the left-hand side of Gauss-Jacobi type quadrature formula involving MT_m-preinvex functions along with beta function are given. Moreover, some generalizations of Hermite-Hadamard type inequalities for MT_m-preinvex functions via classical integrals and Riemann-Liouville fractional integrals are established. At the end, some applications to special means are given. These results not only extend the results appeared in the literature (see [13]), but also provide new estimates on these types.

Słowa kluczowe

EN

MT-convex function; power mean inequality; fractional integral; m-invex; P-function; Hermite-Hadamard type inequalities; Hölder's inequality

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2017
• Tom: Nr 58
• Strony: 77--96
• Opis fizyczny: Bibliogr. 20 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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Uwagi

Powtórzona 4 i 5 pozycja w bibliogafii

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).