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    Öğe
    ON tgs-CONVEX FUNCTION AND THEIR INEQUALITIES
    (Univ Nis, 2015) Tunc, Mevlut; Gov, Esra; Sanal, Ummugulsum
    In this paper, the authors define a new concept of the so-called tgs-convex function and establish some inequalities of the Hadamard type via ordinary and Riemann Liouville integral.
  • Küçük Resim
    Öğe
    Some perturbed trapezoid inequalities for convex, s-convex and tgs-convex functions and applications
    (Tbilisi Centre Math Sci, 2015) Tunc, Mevlut; Sanal, Ummugulsum
    In this paper,the Authors establish a new identity for twice differentiable functions. Afterwards some new inequalities are presented related to perturbed trapezoid inequality for the classes of functions wchose second derivatives of absolute values are convex, s-convex and tgs-convex. Last of all, applications to special menus have also been presented.