Matematik: Recent submissions

  • CERTAIN NEW HERMITE-HADAMARD TYPE INEQUALITIES FOR CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS 
    Korkut, Necla; Ozdemir, M. Emin; Set, Erhan (ANKARA UNIV, FAC SCI, DOGOL CADDESI, ANKARA, 06100, TURKEY, 2019)
    The object of this paper is to obtain certain Hermite-Hadamard type integral inequalities involving general class of fractional integral operators and the fractional integral operators with exponential kernel by using ...
  • ON NEW CONFORMABLE FRACTIONAL INTEGRAL INEQUALITIES FOR PRODUCT OF DIFFERENT KINDS OF CONVEXITY 
    Akdemir, Ahmet Ocak; Ekinci, Alper; Set, Erhan (TURKIC WORLD MATHEMATICAL SOC, Z KHALILOV STR, 23, BAKU, AZ 1148, AZERBAIJAN, 2019)
    Certain Hermite-Hadamard type inequalities involving various fractional integral operators for products of two functions have, recently, been presented. We aim to establish several Hermite-Hadamard type inequalities for ...
  • The effect of the use of mathematics course in terms of prospective teachers' attitudes toward mathematics and their beliefs on the nature, teaching, and learning of mathematics 
    Cansiz Aktas, Meral; Yavuz Mumcu, Hayal (PEGEM AKAD YAYINCILIK EGITIM DANISMANLIK HIZMETLERI TIC LTD STI, MESRUTIYET CADDESI, NO 5, 06420, KIZILAY, ANKARA, 00000, TURKEY, 2019)
    The aim of this study is to examine the effect of the use of mathematics course on the prospective teachers' attitudes towards mathematics and their beliefs on the nature, teaching and learning of mathematics and also to ...
  • ON NEW GRUSS TYPE INEQUALITIES FOR CONFORMABLE FRACTIONAL INTEGRALS 
    Mumcu, I; Set, E. (TURKIC WORLD MATHEMATICAL SOC, Z KHALILOV STR, 23, BAKU, AZ 1148, AZERBAIJAN, 2019)
    We use conformable fractional integral, recently introduced by Khalil et. al. and Abdeljavad, to obtain some new integral inequalities of Gruss type. We show two new theorems associated with Gruss inequality, as well as ...
  • ON STRONGLY (p, h)-CONVEX FUNCTIONS 
    Awan, Muhammad Uzair; Mihai, Marcela, V; Noor, Muhammad Aslam; Set, Erhan (INST APPLIED MATHEMATICS, BAKU STATE UNIV, Z KHALILOV, 23, BAKU, AZ1148, AZERBAIJAN, 2019)
    In this paper, we introduce a new class of convex functions which is called strongly (p, h)-convex functions. We show that this class includes several other new classes of convex functions. We also establish some new results ...
  • Conformable fractional integral inequalities of Chebyshev type 
    Demirbas, Sevdenur; Mumcu, Ilker; Set, Erhan (SPRINGER-VERLAG ITALIA SRL, VIA DECEMBRIO, 28, MILAN, 20137, ITALY, 2019)
    A number of Chebyshev 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, ...
  • On Some Generalized Fractional Integral Inequalities for p-Convex Functions 
    Erdas, Yeter; Salas, Seren; Set, Erhan; Toplu, Tekin (MDPI, ST ALBAN-ANLAGE 66, CH-4052 BASEL, SWITZERLAND, 2019)
    In this paper, firstly we have established a new generalization of Hermite-Hadamard inequality via p-convex function and fractional integral operators which generalize the Riemann-Liouville fractional integral operators ...
  • Hermite-Hadamard and Hermite-Hadamard-Fejer Type Inequalities Involving Fractional Integral Operators 
    Akdemir, Ahmet Ocak; Alan, Emrullah Aykan; Set, Erhan (UNIV NIS, FAC SCI MATH, PO BOX 224, VISEGRADSKA 33, NIS, 18000, SERBIA MONTENEG, 2019)
    Since the so-called Hermite-Hadamard type inequalities for convex functions were presented, their generalizations, refinements, and variants involving various integral operators have been extensively investigated. Here we ...
  • General inequalities related Hermite-Hadamard inequality for generalized fractional integrals 
    Gozpinar, Abdurrahman; Kavurmac-Onalan, Havva; Set, Erhan (UNIV BABES-BOLYAI, MIHAIL KOGALNICEANU NR. 1, CLUJ-NAPOCA RO-3400, ROMANIA, 2019)
    In this article, we first establish a new general integral identity for differentiable functions with the help of generalized fractional integral operators introduced by Raina [8] and Agarwal et al. [1]. As a second, by ...
  • Certain Chebyshev-Type Inequalities Involving Fractional Conformable Integral Operators 
    Khan, Aftab; Nisar, Kottakkaran Sooppy; Rahman, Gauhar; Set, Erhan; Ullah, Zafar (MDPI, ST ALBAN-ANLAGE 66, CH-4052 BASEL, SWITZERLAND, 2019)
    Since an interesting functional by P.L. Chebyshev was presented in the year 1882, many results, which are called Chebyshev-type inequalities, have been established. Some of these inequalities were obtained by using fractional ...
  • Ostrowski type inequalities via new fractional conformable integrals 
    Akdemir, Ahmet Ocak; Gozpinar, Abdurrahman; Jarad, Fahd; Set, Erhan (AMER INST MATHEMATICAL SCIENCES-AIMS, PO BOX 2604, SPRINGFIELD, MO 65801-2604 USA, 2019)
    In this present study, firstly, some necessary definitions and some results related to Riemann-Liouville fractional and new fractional conformable integral operators defined by Jarad et al. [13] are given. As a second, a ...
  • CHEBYSHEV TYPE INEQUALITIES FOR CONFORMABLE FRACTIONAL INTEGRALS 
    Akdemir, Ahmet Ocak; Mumcu, Ilker; Set, Erhan (UNIV MISKOLC INST MATH, MISKOLC-EGYETEMVAROS, MISKOLC, H-3515, HUNGARY, 2019)
    In this article, firstly some necessary definitions and results involving fractional integrals are given. Secondly, a new identity involving conformable fractional integrals is given. Then, by using this identity, we ...
  • HARMONICITY AND DIFFERENTIAL EQUATION OF INVOLUTE OF A CURVE IN E-3 
    Cakir, Osman; Senyurt, Suleyman (VINCA INST NUCLEAR SCI, MIHAJLA PETROVICA-ALASA 12-14 VINCA, 11037 BELGRADE. POB 522, BELGRADE, 11001, SERBIA, 2019)
    In this paper, we first give necessary conditions in which we can decide whether a given curve is biharmonic or 1-type harmonic and differential equations characterizing the regular curves. Then we research the Frenet ...
  • *-HERMITE-HADAMARD-FEJER INEQUALITY AND SOME NEW INEQUALITY VIA *-CALCULUS 
    Erdas, Yeter; Salas, Seren; Unluyol, Erdal (YILDIZ TECHNICAL UNIV, YILDIZ CAMPUS, BESIKTAS, ISTANBUL, 34349, TURKEY, 2019)
    In this paper, firstly it is proved *-Hermite-Hadamard-Fejer inequality in terms of *-calculus. Secondly, some theorems are generalized by this calculi. Finally, it is obtained some corollaries depend on these theorems.
  • SOME PROPERTIES OF (h, m)-PREINVEX FUNCTIONS AND HERMITE HADAMARD INEQUALITY 
    Karadeniz, Mustafa; Unluyol, Erdal (YILDIZ TECHNICAL UNIV, YILDIZ CAMPUS, BESIKTAS, ISTANBUL, 34349, TURKEY, 2019)
    In this paper, firstly it is defined a new class of preinvex, namely, (h, m)-preinvex. Secondly it is obtained some algebraic properties of this class, i.e. sum, multiple etc. Finally it is proved the Hermite-Hadamard ...
  • Some New Fractional Trapezium-Type Inequalities for Preinvex Functions 
    Kashuri, Artion; Liko, Rozana; Set, Erhan (MDPI, ST ALBAN-ANLAGE 66, CH-4052 BASEL, SWITZERLAND, 2019)
    In this paper, authors the present the discovery of an interesting identity regarding trapezium-type integral inequalities. By using the lemma as an auxiliary result, some new estimates with respect to trapezium-type ...
  • Exponential Independence Number of Some Graphs 
    Aytac, Aysun; Ciftci, Canan (WORLD SCIENTIFIC PUBL CO PTE LTD, 5 TOH TUCK LINK, SINGAPORE 596224, SINGAPORE, 2018)
    Let G be a graph and S subset of V(G). We define by < S > the subgraph of G induced by S. For each vertex u is an element of S and for each vertex v is an element of S\{u}, d((G, s\{u})())(u,v) is the length of the shortest ...
  • Certain Hermite-Hadamard type inequalities involving generalized fractional integral operators 
    Celik, Baris; Choi, Junesang; Set, Erhan (SPRINGER-VERLAG ITALIA SRL, VIA DECEMBRIO, 28, MILAN, 20137, ITALY, 2018)
    Raina (East Asian Math J 21(2):191-203, 2005) introduced a new fractional integral operator which is a generalization of Riemann-Liouville fractional integral. Agarwal et al. (Fasc Math 204:5-27, 2016) provided some Ostrowski ...
  • 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 ...

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