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Browsing Matematik by Author "Turhan, Sercan"

Browsing Matematik by Author "Turhan, Sercan"

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  • Hermite-Hadamard and Simpson-like Type Inequalities for Differentiable p-quasi-convex Functions 
    Iscan, Imdat; Maden, Selahattin; Turhan, Sercan (UNIV NIS, FAC SCI MATH, PO BOX 224, VISEGRADSKA 33, NIS, 18000, SERBIA MONTENEG, 2017)
    In this paper, we give a new concept which is a generalization of the concepts quasi-convexity and harmonically quasi-convexity and establish a new identity. A consequence of the identity is that we obtain some new general ...
  • HERMITE-HADAMARD TYPE INEQUALITY FOR STRONGLY CONVEX FUNCTIONS VIA SUGENO INTEGRALS 
    Maden, Selahattin; Okur, Nurgul; Turhan, Sercan (YILDIZ TECHNICAL UNIV, YILDIZ CAMPUS, BESIKTAS, ISTANBUL, 34349, TURKEY, 2017)
    In this paper, Hermite-Hadamard type inequality for Sugeno integrals based on strongly convex functions is studied. Some examples are given to illustrate the results.
  • New Hermite-Hadamard-Fejer type inequalities for GA-convex functions 
    Maden, Selahattin; Turhan, Sercan; Iscan, Imdat (AMER INST PHYSICS-MELVILLE, 2016)
    In this paper, we gave the new general identity for differentiable function. As a result of this identity some new and general fractional integral inequalities for differentiable GA-convex functions are obtained.
  • Relationships between Integral Averages for Absolutely Continuous Functions Whose Derivative are GA-Convex Functions 
    Kadakal, Huriye; Maden, Selahattin; Turhan, Sercan (AMER INST PHYSICS, 2 HUNTINGTON QUADRANGLE, STE 1NO1, MELVILLE, NY 11747-4501 USA, 2017)
    We have obtained a new identity for GA-convex functions. Taking advantage of this identity, we derived a new estimate for the difference between the integral averages and its mean over a subinterval for the GA convex functions.
  • SOME INTEGRAL INEQUALITIES FOR THE NEW CONVEX FUNCTIONS 
    Demirel, Ayse Kubra; Iscan, Imdat; Maden, Selahattin; Turhan, Sercan (YILDIZ TECHNICAL UNIV, YILDIZ CAMPUS, BESIKTAS, ISTANBUL, 34349, TURKEY, 2018)
    In this study, we obtained the Hermite-Hadamard integral inequality for M phi A-P-function. Then we gave a new identity for M phi A-P-function and using these identity, we obtained the theorems and the results.

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