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Browsing Matematik by Author "Sarikaya, Mehmet Zeki"

Browsing Matematik by Author "Sarikaya, Mehmet Zeki"

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  • GENERALIZED OSTROWSKI TYPE INEQUALITIES FOR FUNCTIONS WHOSE LOCAL FRACTIONAL DERIVATIVES ARE GENERALIZED s-CONVEX IN THE SECOND SENSE 
    Budak, Huseyin; Sarikaya, Mehmet Zeki; Set, Erhan (CZESTOCHOWA UNIV TECHNOLOGY, INST MATHEMATICS, ARMII KRAJOWEJ 21, CZESTOCHOWA, 42-200, POLAND, 2016)
    In this paper, we establish some generalized Ostrowski type inequalities for functions whose local fractional derivatives are generalized s-convex in the second sense.
  • Hadamard type inequalities for phi-convex functions on the co-ordinates 
    Akdemir, Ahmet Ocak; Sarikaya, Mehmet Zeki; Set, Erhan (TBILISI CENTRE MATH SCIA RAZMADZE MATHEMATICAL INST 1, M ALEKSIDZE ST, TBILISI 0193, REP OF GEORGIA, 2014)
    In this paper, we introduce the notation of phi-convex functions on the co-ordinates and present some properties. Also, new Hadamard type inequalities for such functions are obtained.
  • Hadamard type inequalities for φ-convex functions on the co-ordinates 
    Set, Erhan; Sarikaya, Mehmet Zeki; Akdemir, Ahmet Ocak (DE GRUYTER OPEN LTD-WARSAW, 2014)
    In this paper, we introduce the notation of phi-convex functions on the co-ordinates and present some properties. Also, new Hadamard type inequalities for such functions are obtained.
  • On a New Ostrowski-Type Inequality and Related Results 
    Sarikaya, Mehmet Zeki; Set, Erhan (KYUNGPOOK NATL UNIV, DEPT MATHEMATICS80 DAEHAKRO, BUKGU, TAEGU 41566, SOUTH KOREA, 2014)
    We provide a new Ostrowski-type inequality involving functions of two independent variables, as well as some related results.
  • On Generalization of Trapezoid Type Inequalities for s-Convex Functions with Generalized Fractional Integral Operators 
    Budak, Huseyin; Sarikaya, Mehmet Zeki; Set, Erhan; Usta, Fuat (UNIV NIS, FAC SCI MATH, PO BOX 224, VISEGRADSKA 33, NIS, 18000, SERBIA MONTENEG, 2018)
    By using contemporary theory of inequalities, this study is devoted to propose a number of refinements inequalities for the Hermite Hadamard's type inequality and conclude explicit bounds for the trapezoid inequalities in ...
  • On generalized Gruss type inequalities for k-fractional integrals 
    Sarikaya, Mehmet Zeki; Set, Erhan; Tomar, Muharrem (ELSEVIER SCIENCE INCSTE 800, 230 PARK AVE, NEW YORK, NY 10169, 2015)
    The aim of the present paper is to investigate some new integral inequalities of Gruss type for k - Riemann-Liouville fractional integrals. From our results, new weighted or classical Griiss type inequalities have been ...
  • On New Ostrowski Type Integral Inequalities 
    Sarikaya, Mehmet Zeki; Set, Erhan (CHIANG MAI UNIV, FAC SCIENCE239 HUAY KAEW RD, T SUTHEP, CHIANG MAI 50200, THAILAND, 2014)
    In this article, we give a new Montgomery type identity and using this identity establish a new Ostrowski type inequality and its perturbed inequality forms.
  • Ostrowski-type inequalities for strongly convex functions 
    Akdemir, Ahmet Ocak; Ozdemir, Muhamet Emin; Sarikaya, Mehmet Zeki; Set, Erhan (WALTER DE GRUYTER GMBH, GENTHINER STRASSE 13, D-10785 BERLIN, GERMANY, 2018)
    In this paper, we establish Ostrowski-type inequalities for strongly convex functions, by using some classical inequalities and elementary analysis. We also give some results for the product of two strongly convex functions.
  • QUANTUM OSTROWSKI TYPE INEQUALITIES FOR PRE-INVEX FUNCTIONS 
    Ali, Muhammad Aamir; Budak, Huseyin; Sarikaya, Mehmet Zeki; Set, Erhan (WALTER DE GRUYTER GMBH-BERLIN, 2022)
    In this paper, using the quantum derivatives and quantum integrals, we prove some new quantum Ostrowski's type inequalities for pre-invex functions. Furthermore, in the special cases of newly developed inequalities, we ...
  • SOME OSTROWSKI ' S TYPE INEQUALITIES FOR FUNCTIONS WHOSE SECOND DERIVATIVES ARE s-CONVEX IN THE SECOND SENSE 
    Ozdemir, M. Emin; Sarikaya, Mehmet Zeki; Set, Erhan (DE GRUYTER POLAND SP Z O OBOGUMILA ZUGA 32A STR, 01-811 WARSAW, MAZOVIA, POLAND, 2014)
    Some new inequalities of the Ostrowski type for twice differentiable mappings whose derivatives in absolute value are s-convex in the second sense are given.

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