Fen Edebiyat Fakültesi: Recent submissions

  • 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.
  • SOME NEW INEQUALITIES OF HERMITE-HADAMARD TYPE FOR h-CONVEX FUNCTIONS ON THE CO-ORDINATES VIA FRACTIONAL INTEGRALS 
    Ogulmus, Hatice; Sarikaya, M. Zeki; Set, Erhan (UNIV NISUNIVERZITETSKI TRG 2, PO BOX 123, NIS 18000, SERBIA, 2014)
    By making use of the identity obtained by Sarikaya, some new Hermite-Hadamard type inequalities for h-convex functions on the co-ordinates via fractional integrals are established. Our results have some relationships with ...
  • On a Cotangent Bundle with Deformed Riemannian Extension 
    Aslanci, Seher; Cakan, Rabia (SPRINGER BASEL AGPICASSOPLATZ 4, BASEL 4052, SWITZERLAND, 2014)
    The main purpose of this paper is to study deformed Riemannian extensions in the cotangent bundle. The curvature properties of metric connections for deformed Riemannian extensions are also investigated.
  • 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 some integral inequalities for twice differentiable mappings 
    Ozdemir, M. Emin; Sarkaya, Mehmet Zeki; Set, Erhan (UNIV BABES-BOLYAIMIHAIL KOGALNICEANU NR. 1, CLUJ-NAPOCA RO-3400, ROMANIA, 2014)
    In this paper, we establish several new inequalities for some twice differantiable mappings. Then, we apply these inequalities to obtain new midpoint, trapezoid and perturbed trapezoid rules. Finally, some applications for ...
  • 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.
  • 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.
  • The Hermite-Hadamard's inequality for some convex functions via fractional integrals and related results 
    Ozdemir, M. E.; Sarikaya, M. Z.; Set, E.; Yildirim, H. (SCIENDOBOGUMILA ZUGA 32A, WARSAW, MAZOVIA 01-811, POLAND, 2014)
    In this paper, we establish Hermite-Hadamard type inequalities for s - convex functions in the second sense and m - convex functions via fractional integrals. The analysis used in the proofs is fairly elementary.

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