Fen Edebiyat Fakültesi: Recent submissions

  • 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.
  • 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 Generalization of Fejer Type Inequalities via Fractional Integral Operators 
    Akdemir, Ahmet Ocak; Celika, Baris; Set, Erhan (UNIV NIS, FAC SCI MATH, PO BOX 224, VISEGRADSKA 33, NIS, 18000, SERBIA MONTENEG, 2018)
    In this paper we first prove a new lemma for differentiable mapping via a fractional integral operator. Then, using lemma, we establish some new Hermite-Hadamard-Fejer type results for convex functions via fractional ...
  • The Quaternionic Expression of Ruled Surfaces 
    Caliskan, Abdussamet; Senyurt, Suleyman (UNIV NIS, FAC SCI MATH, PO BOX 224, VISEGRADSKA 33, NIS, 18000, SERBIA MONTENEG, 2018)
    In this paper, firstly, the ruled surface is expressed as a spatial quaternionic. Also, the spatial quaternionic definitions of the Striction curve, the distribution parameter, angle of pitch and the pitch are given. ...
  • Some New Generalizations of Ostrowski Type Inequalities for s-Convex Functions via Fractional Integral Operators 
    Set, Erhan (UNIV NIS, FAC SCI MATH, PO BOX 224, VISEGRADSKA 33, NIS, 18000, SERBIA MONTENEG, 2018)
    Remarkably a lot of Ostrowski type inequalities involving various fractional integral operators have been investigated by many authors. Recently, Raina [34] introduced a new generalization of the Riemann- Liouville fractional ...
  • 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.
  • N Partial Sum Approaches to Estimate the Parameters of Some Growth Models 
    Korkmaz, Mehmet (AMER INST PHYSICS, 2 HUNTINGTON QUADRANGLE, STE 1NO1, MELVILLE, NY 11747-4501 USA, 2018)
    Growth model is generally fitted by evaluating the mathematical parameters, a, b and c. In this study, the method of partial sums was used. For finding the mathematical parameters, firstly three partial sums were used and ...
  • Generalized Fractional Integral Inequalities for Some Classes of Symmetrized Convex Functions 
    Alan, E. Aykan; Gozpinar, Abdurrahman; Set, Erhan (AMER INST PHYSICS, 2 HUNTINGTON QUADRANGLE, STE 1NO1, MELVILLE, NY 11747-4501 USA, 2018)
    In this study, firstly, we prove a new identity for symmetrized convex functions via generalized fractional integral operators. Secondly, with the help of these identities, some new Ilermite-Iladamard type inequalities for ...
  • Hermite-Hadamard Type Inequalities For Quasi-Convex Functions Via New Fractional Conformable Integrals 
    Demirci, Filiz; Gozpinar, Abdurrahman; Set, Erhan (AMER INST PHYSICS, 2 HUNTINGTON QUADRANGLE, STE 1NO1, MELVILLE, NY 11747-4501 USA, 2018)
    The main issue addressed in this paper is to prove generalization of Hermite-Hadamard type inequalities for quasiconvex functions via "new fractional conformable integrals "defined by Jarad et. al. [6]. The relevant ...
  • Some Inequalities Related to Different Convex Functions via New Fractional Conformable Integrals 
    Gozpinar, Abdurrahman; Karaoglan, Ali; Set, Erhan (AMER INST PHYSICS, 2 HUNTINGTON QUADRANGLE, STE 1NO1, MELVILLE, NY 11747-4501 USA, 2018)
    In the present paper, several interesting integral inequalities involving new fractional conformable integral operators defined by Jarad et. al. [3] for different class of convex mappings are established. In a special case, ...
  • Gruss Type Inequalities Involving New Conformable Fractional Integral Operators 
    Mumcu, Ilker; Ozdemir, M. Emin; Set, Erhan (AMER INST PHYSICS, 2 HUNTINGTON QUADRANGLE, STE 1NO1, MELVILLE, NY 11747-4501 USA, 2018)
    A number of Gruss type inequalities involving various fractional integral operators have, recently, been presented. Here, motivated essentially by the earlier works and their applications in diverse research subjects, we ...
  • Some new Hermite-Hadamard type inequalities in terms of operator h-preinvex functions in Hilbert Space 
    Altunc, Cansu; Baskoy, Elif; Unluyol, Erdal (AMER INST PHYSICS, 2 HUNTINGTON QUADRANGLE, STE 1NO1, MELVILLE, NY 11747-4501 USA, 2018)
    In this paper, it is introduced the operator h-preinvex function. And then it is established some new Hermite-Hadamard type inequalities for continuous functions of selfadjoint operators.
  • Hermite-Hadamard Type Inequality for Functions whose Derivatives Absolute Values are Operator Quasi-Convex 
    Erdas, Yeter; Unluyol, Erdal (AMER INST PHYSICS, 2 HUNTINGTON QUADRANGLE, STE 1NO1, MELVILLE, NY 11747-4501 USA, 2018)
    In this study, firstly the definition of operator quasi-convex function is given. Secondly, two new lemmas have been given and proven. Later new theorems are expressed and proved with the help of these lemmas. Finally, we ...
  • On operator GA-convex functions in Hilbert spaces 
    Altunc, Cansu; Ozturk Mert, Rukiye; Unluyol, Erdal (AMER INST PHYSICS, 2 HUNTINGTON QUADRANGLE, STE 1NO1, MELVILLE, NY 11747-4501 USA, 2018)
    In this paper, it is defined the operator GA-convex functions for continuous functions of self-adjoint operators in Hilbert spaces. And then it is obtained some new Hermite-Hadamard type inequalities for this class of functions.
  • Some New Ostrowski Type Inequalities for Generalized Fractional Integrals 
    Set, Erhan; Yaldiz, Hatice (AMER INST PHYSICS, 2 HUNTINGTON QUADRANGLE, STE 1NO1, MELVILLE, NY 11747-4501 USA, 2018)
    In this paper, we extend the Montgomery identities for the generalized fractional integrals. These results are connected with the celebrated Ostrowski type integral inequality for generalized fractional integral operators ...
  • HERMITE-HADAMARD TYPE INEQUALITIES FOR QUASI-CONVEX FUNCTIONS VIA KATUGAMPOLA FRACTIONAL INTEGRALS 
    Mumcu, Ilker; Set, Erhan (ETAMATHS PUBL, 701 W GEORGIA ST, STE 1500, VANCOUVER, BC V7Y 1C6, CANADA, 2018)
    The paper deals with quasi-convex functions, Katugampola fractional integrals and HermiteHadamard type integral inequalities. The main idea of this paper is to present new Hermite-Hadamard type inequalities for quasi-convex ...
  • AN EXAMINATION OF PERPENDICULAR INTERSECTIONS OF BFRS AND MFRS IN E-3 
    Kilicoglu, Seyda; Senyurt, Suleyman (INST BIOPHYSICS & BIOMEDICAL ENGINEERING, BULGARIAN ACAD SCIENCES, ACAD GEORGI BONCHEV STR, BLOCK 21, SOFIA, 1113, BULGARIA, 2018)
    We already have defined and found the parametric equations of Frenet ruled surfaces which are called Bertrandian Frenet Ruled Surfaces (BFRS) and Mannheim Frenet Ruled Surfaces (MFRS) of a curve a, in terms of the Frenet ...
  • New Hermite-Hadamard type inequalities for product of different convex functions involving certain fractional integral operators 
    Celik, Baris; Choi, Junesang; Set, Erhan (JOURNAL MATHEMATICS & COMPUTER SCIENCE-JMCS, JOURNAL MATHEMATICS & COMPUTER SCIENCE-JMCS, MAZANDARAN, 00000, IRAN, 2018)
    We aim to establish new Hermite-Hadamard type inequalities for products of two different convex functions involving certain generalized fractional integral operators. The results presented here, being very general, are ...
  • On integral inequalities related to the weighted and the extended Chebyshev functionals involving different fractional operators 
    Celik, Baris; Gurbuz, Mustafa C.; Ozdemir, M. Emin; Set, Erhan (SPRINGER, ONE NEW YORK PLAZA, SUITE 4600, NEW YORK, NY, UNITED STATES, 2020)
    The role of fractional integral operators can be found as one of the best ways to generalize classical inequalities. In this paper, we use different fractional integral operators to produce some inequalities for the weighted ...
  • Some new integral inequalities associated with generalized proportional fractional operators 
    Akdemir, Ahmet Ocak; Alan, Emrullah Aykan; Celik, Baris; Set, Erhan (WILEY, 111 RIVER ST, HOBOKEN 07030-5774, NJ USA, 2020)
    The main objective of this paper is to develop certain type of fractional integral inequalities using generalized proportional fractional integral operator.

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