Fen Edebiyat Fakültesi: Recent submissions

  • ON NEW INTEGRAL INEQUALITIES USING MIXED CONFORMABLE FRACTIONAL INTEGRALS 
    Celik, Baris; Set, Erhan (ANKARA UNIV, FAC SCI, DOGOL CADDESI, ANKARA, 06100, TURKEY, 2020)
    During the past two decades or so, fractional integral operators have been one of the most important tools in the development of inequalities theory. By this means, a lot generalized intergral inequalities involving various ...
  • Disjunctive Total Domination Subdivision Number of Graphs 
    Aytac, Vecdi; Ciftci, Canan (IOS PRESS, NIEUWE HEMWEG 6B, 1013 BG AMSTERDAM, NETHERLANDS, 2020)
    A set S subset of V (G) is a disjunctive total dominating set of G if every vertex has a neighbor in S or has at least two vertices in S at distance 2 from it. The disjunctive total domination number is the minimum cardinality ...
  • Chebyshev type inequalities involving extended generalized fractional integral operators 
    Demirbas, Sevdenur; Ozdemir, M. Emin; Set, Erhan (AMER INST MATHEMATICAL SCIENCES-AIMS, PO BOX 2604, SPRINGFIELD, MO 65801-2604 USA, 2020)
    In this paper, mainly by using the extended generalized fractional integral operator that involve a further extension of Mittag-Leffler function in the kernel, we obtain several fractional Chebyshev type integral inequalities. ...
  • Porous Exponential Domination in Harary Graphs 
    Aytac, A.; Ciftci, C. (MAIK NAUKA/INTERPERIODICA/SPRINGER, 233 SPRING ST, NEW YORK, NY 10013-1578 USA, 2020)
    A porous exponential dominating set of a graph G is a subset S such that, for every vertex v of G, n-ary sumation (u is an element of S)(1/2)(d(u, v)-1) >= l, where d(u, v) is the distance between vertices u and v. The ...
  • Ostrowski type inequalities via the Katugampola fractional integrals 
    Gurbuz, Mustafa; Set, Erhan; Tasdan, Yakup (AMER INST MATHEMATICAL SCIENCES-AIMS, PO BOX 2604, SPRINGFIELD, MO 65801-2604 USA, 2020)
    The main aim of this study is to reveal new generalized-Ostrowski-type inequalities using Katugampola fractional integral operator which generalizes Riemann-Liouville and Hadamard fractional integral operators into a single ...
  • Smarandache Curves for Spherical Indicatrix of the Bertrand Curves Pair 
    Altun, Yasin; Cevahir, Ceyda; Senyurt, Suleyman (SOC PARANAENSE MATEMATICA, JD AMERICAS, CAIXA POSTAL 19081, CURITIBA, PR 81531-990, BRAZIL, 2020)
    In this paper, we investigate special Smarandache curves with regard to Sabban frame for Bertrand partner curve spherical indicatrix. Some results have been obtained. These results were expressed depending on the Bertrand ...
  • HERMITE-HADAMARD TYPE INEQUALITY FOR STRONGLY CONVEX FUNCTIONS VIA SUGENO INTEGRALS 
    Maden, Selahattin; Okur, Nurgul; Turhan, Sercan (YILDIZ TECHNICAL UNIV, YILDIZ CAMPUS, BESIKTAS, ISTANBUL, 34349, TURKEY, 2017)
    In this paper, Hermite-Hadamard type inequality for Sugeno integrals based on strongly convex functions is studied. Some examples are given to illustrate the results.
  • Hermite-Hadamard type inequalities for the generalized k-fractional integral operators 
    Choi, Junesang; Gozpinar, Abdurrahman; Set, Erhan (SPRINGEROPEN, CAMPUS, 4 CRINAN ST, LONDON, N1 9XW, ENGLAND, 2017)
    We firstly give a modification of the known Hermite-Hadamard type inequalities for the generalized k-fractional integral operators of a function with respect to another function. We secondly establish several Hermite-Hadamard ...
  • Spacelike surface geometry 
    Gur, Sumeyye; Senyurt, Suleyman (WORLD SCIENTIFIC PUBL CO PTE LTD, 5 TOH TUCK LINK, SINGAPORE 596224, SINGAPORE, 2017)
    In this paper, by considering v = constant and u = constant parameter curves on spacelike surface x = x(u, v), (c(1)) and (c(2)), respectively, and any spacelike curve (c) that passes through the intersection point of these ...
  • Generalized Hermite-Hadamard type inequalities involving fractional integral operators 
    Awan, Muhammed Uzair; Gozpinar, Abdurrahman; Noor, Muhammed Aslam; Set, Erhan (SPRINGER INTERNATIONAL PUBLISHING AG, GEWERBESTRASSE 11, CHAM, CH-6330, SWITZERLAND, 2017)
    In this article, a new general integral identity involving generalized fractional integral operators is established. With the help of this identity new Hermite-Hadamard type inequalities are obtained for functions whose ...
  • On Spatial Quaternionic Involute Curve A New View 
    Altun, Yasin; Cevahir, Ceyda; Senyurt, Suleyman (SPRINGER BASEL AG, PICASSOPLATZ 4, BASEL, 4052, SWITZERLAND, 2017)
    In this study, the normal vector and the unit Darboux vector of spatial involute curve of the spatial quaternionic curve are taken as the position vector, the curvature and torsion of obtained smarandahce curve were calculeted.
  • (k, s)-Riemann-Liouville fractional integral inequalities for continuous random variables 
    Maden, Selahattin; Set, Erhan; Tomar, Muharrem (SPRINGER HEIDELBERG, TIERGARTENSTRASSE 17, D-69121 HEIDELBERG, GERMANY, 2017)
    In this paper, we introduce some new concepts to the field of probability theory: (k, s)-Riemann-Liouville fractional expectation and variance functions. Some generalized integral inequalities are established for (k, ...
  • 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 ...
  • A study on Hermite-Hadamard type inequalities for s-convex functions via conformable fractional integrals 
    Gozpinar, Abdurrahman; Set, Erhan (UNIV BABES-BOLYAI, MIHAIL KOGALNICEANU NR. 1, CLUJ-NAPOCA RO-3400, ROMANIA, 2017)
    In the present note, firstly we established a generalization of Hermite Hadamard's inequality for s-convex functions via conformable fractional integrals which generalized Riemann-Liouville fractional integrals. Secondly, ...
  • ON GENERALIZATIONS RELATED TO THE LEFT SIDE OF FEJER'S INEQUALITY VIA FRACTIONAL INTEGRAL OPERATOR 
    Celik, Baris; Set, Erhan (UNIV MISKOLC INST MATH, MISKOLC-EGYETEMVAROS, MISKOLC, H-3515, HUNGARY, 2017)
    In the paper, firstly, a new fractional integral identity is obtained. Then, some new results related to the left side of Fejer's inequality for differentiable mappings whose derivatives in absolute value are convex via ...
  • Simpson Type Integral Inequalities for Convex Functions via Riemann-Liouville Integrals 
    Akdemir, Ahmet Ocak; Ozdemir, M. Emin; Set, Erhan (UNIV NIS, FAC SCI MATH, PO BOX 224, VISEGRADSKA 33, NIS, 18000, SERBIA MONTENEG, 2017)
    In this paper some new inequalities of Simpson-type are established for the classes of functions whose derivatives of absolute values are convex functions via Riemann-Liouville integrals. Also, by special selections of ...
  • HERMITE-HADAMARD TYPE INEQUALITIES VIA CONFORMABLE FRACTIONAL INTEGRALS 
    Ekinci, A.; Gozpinar, A.; Set, E. (COMENIUS UNIV, SCH MEDICINE, SPITALSKA 24, BRATISLAVA I, SK-813 72, SLOVAKIA, 2017)
    In this study, a new identity involving conformable fractional integrals is given. Then, by using this identity, some new Hermite-Hadamard type inequalities for conformable fractional integrals have been developed.
  • CERTAIN GENERALIZED OSTROWSKI TYPE INEQUALITIES FOR LOCAL FRACTIONAL INTEGRALS 
    Choi, Junesang; Set, Erhan; Tomar, Muharrem (KOREAN MATHEMATICAL SOC, KOREA SCIENCE TECHNOLOGY CTR 202, 635-4 YEOKSAM-DONG, KANGNAM-KU, SEOUL 135-703, SOUTH KOREA, 2017)
    We give a function associated with generalized Ostrowski type inequality and its integral representation for local fractional calculus. Then, using this function and its integral representation, we establish several ...
  • N-FUZZY IDEALS OF LATTICES 
    Celik, Yildiray (ANKARA UNIV, FAC SCI, DOGOL CADDESI, ANKARA, 06100, TURKEY, 2017)
    In this paper, the new concepts of N-fuzzy ideals and N-fuzzy prime ideals of lattices have been introduced. Also, some of theirs basic properties are investigated. Hence, some results about the homomorphic N-image and ...
  • AN EXAMINATION ON HELIX AS INVOLUTE, BERTRAND MATE AND MANNHEIM PARTNER OF ANY CURVE alpha IN E-3 
    Kilicoglu, Seyda; Senyurt, Suleyman (INT CENTER SCIENTIFIC RESEARCH & STUDIES, HASHEMITE KINGDOM JORDEN, PO BOX 1077, IRBID, 21110, JORDAN, 2017)
    In this study we consider three offset curves of a curve a such as the involute curve alpha*, Bertrand mate alpha(1) and Mannheim partner alpha(2). We examined and find the conditions of Frenet apparatus of any curve alpha ...

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