Browsing by Author "Butt, S., I"

Filter results by typing the first few letters
Now showing 1 - 2 of 2
  • No Thumbnail Available
    Publication
    New hadamard-type inequalities via (S, M1, M2)-convex functions
    (Udmurt State Univ, 2021-01-01) Butt, S., I; Shaokat, Sh; Napoles Valdes, J. E.; Bayraktar, Bahtiyar; BAYRAKTAR, BAHTİYAR; Bursa Uludağ Üniversitesi/Eğitim Fakültesi.; 0000-0001-7594-8291; ABI-7823-2020
    The article introduces a new concept of convexity of a function: (s, m(1), m(2)) convex functions. This class of functions combines a number of convexity types found in the literature. Some properties of (s, m(1), m(2))-convexities are established and simple examples of functions belonging to this class are given. On the basis of the proved identity, new integral inequalities of the Hadamard type are obtained in terms of the fractional integral operator. It is shown that these results give us, in particular, generalizations of a number of results available in the literature.
  • Thumbnail Image
    Publication
    Several new integral inequalities via k- riemann- liouville fractional integrals operators
    (Petrozavodsk State, 2021-01-01) Butt, S., I; Umar, M.; Bayraktar, B.; BAYRAKTAR, BAHTİYAR; Bursa Uludağ Üniversitesi/Eğitim Fakültesi.; 0000-0001-7594-8291; ABI-7823-2020
    The main objective of this paper is to establish several new integral inequalities including k-Riemann - Liouville fractional integrals for convex, s-Godunova - Levin convex functions, quasi-convex, eta-quasi-convex. In order to obtain our results, we have used classical inequalities as Holder inequality, Power mean inequality and Weighted Holder inequality. We also give some applications.