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Browsing Fen Edebiyat Fakültesi by Author "0000-0001-6749-0591"

Browsing Fen Edebiyat Fakültesi by Author "0000-0001-6749-0591"

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  • Convex Functions and Some Inequalities in Terms of the Non-Newtonian Calculus 
    Iscan, Imdat; Salas, Seren; Unluyol, Erdal (AMER INST PHYSICS, 2 HUNTINGTON QUADRANGLE, STE 1NO1, MELVILLE, NY 11747-4501 USA, 2017)
    Differentiation and integration are basic operations of calculus and analysis. Indeed, they are many versions of the subtraction and addition operations on numbers, respectively. From 1967 till 1970 Michael Grossman and ...
  • 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-Fejer Type Inequalities for s-Convex Function in the Second Sense via Fractional Integrals 
    Iscan, Imdat; Kara, Hasan Huseyin; Set, Erhan (UNIV NIS, FAC SCI MATH, PO BOX 224, VISEGRADSKA 33, NIS, 18000, SERBIA MONTENEG, 2016)
    In this paper, we established Hermite-Hadamard-Fejer type inequalities for s-convex functions in the second sense via fractional integrals. The some results presented here would provide extansions of those given in earlier works.
  • LAZHAR TYPE INEQUALITIES FOR p-CONVEX FUNCTIONS 
    Toplu, Tekin; Iscan, Imdat; Maden, Selahattin (HONAM MATHEMATICAL SOC-GWANGJU, 2022)
    The aim of this study is to establish some new Jensen and Lazhar type inequalities for p-convex function that is a generalization of convex and harmonic convex functions. The results obtained here are reduced to 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.
  • On new general integral inequalities for s-convex functions 
    Iscan, Imdat; Ozdemir, M. Emin; Set, Erhan (ELSEVIER SCIENCE INCSTE 800, 230 PARK AVE, NEW YORK, NY 10169, 2014)
    In this paper, the authors establish some new estimates for the remainder term of the midpoint, trapezoid, and Simpson formula using functions whose derivatives in absolute value at certain power are s-convex. Some ...
  • On new inequalities of Hermite-Hadamard-Fejer type for convex functions via fractional integrals 
    Iscan, Imdat; Sarikaya, M. Zeki; Sarikaya, M. Zeki; Set, Erhan (ELSEVIER SCIENCE INCSTE 800, 230 PARK AVE, NEW YORK, NY 10169, 2015)
    In this paper, we establish some weighted fractional inequalities for differentiable mappings whose derivatives in absolute value are convex. These results are connected with the celebrated Hermite-Hadamard-Fejer type ...
  • 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.
  • SOME NEW INTEGRAL INEQUALITIES FOR n- TIMES DIFFERENTIABLE QUASI-CONVEX FUNCTIONS 
    Iscan, Imdat; Kadakal, Huriye; Kadakal, Mahir (YILDIZ TECHNICAL UNIV-ISTANBUL, 2017)
    In this work, by using an integral identity together with both the Holder and the Power-Mean integral inequality we establish several new inequalities for n-time differentiable quasi-convex functions. Using this inequalities, ...

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