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Browsing Matematik by Title

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  • Canal surfaces generated by special curves and quaternions 
    Caliskan, Abdussamet (SPRINGER HEIDELBERG-HEIDELBERG, 2023)
    In this paper, we show that canal and tubular surfaces can be obtained by special curves. Also, we give the equations of the canal and tubular surfaces given by the different frames. Besides, these surfaces are obtained ...
  • 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 ...
  • 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 ...
  • 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 ...
  • Certain Hermite-Hadamard type inequalities via generalized k-fractional integrals 
    Agarwal, Praveen; Jleli, Mohamed; Tomar, Muharrem (SPRINGER-NEW YORK, 2017)
    Some Hermite-Hadamard type inequalities for generalized k-fractional integrals (which are also named (k, s)-Riemann-Liouville fractional integrals) are obtained for a fractional integral, and an important identity is ...
  • Certain inequalities associated with Hadamard k-fractional integral operators 
    Choi, Junesang; Mubeen, Shahid; Tomar, Muharrem (SPRINGEROPEN, CAMPUS, 4 CRINAN ST, LONDON, N1 9XW, ENGLAND, 2016)
    We aim to present some new Polya-Szego type inequalities associated with Hadamard k-fractional integral operators, which are also used to derive some Chebyshev type integral inequalities. Further we apply some of the results ...
  • 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 ...
  • Characterizations of Bertrand curve pairs via new Frenet formulas 
    Senyurt, Suleyman; Cakir, Osman (YILDIZ TECHNICAL UNIV-ISTANBUL, 2023)
    In this article, we first introduce new Frenet formulas by making use of the properties of connected curves. Then applying these formulas we show that some decisive properties of Bertrand partner curve can be given in terms ...
  • The Characterizations of Parallel q-Equidistant Ruled Surfaces 
    Li, Yanlin; Senyurt, Suleyman; Ozduran, Ahmet; Canli, Davut (MDPI-BASEL, 2022)
    In this paper, parallel q-equidistant ruled surfaces are defined such that the binormal vectors of given two differentiable curves are parallel along the striction curves of their corresponding binormal ruled surfaces, and ...
  • Chebyshev type inequalities by using generalized proportional Hadamard fractional integrals via Polya?Szeg? inequality with applications 
    Set, Erhan; Kashuri, Artion; Mumcu, Ilker (PERGAMON-ELSEVIER SCIENCE LTD OXFORD, 2021)
    In this paper, authors give some new Chebyshev type inequalities by using generalized proportional Hadamard fractional integrals via Polya-Szego inequality. Some interesting applications from main results are established ...
  • 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 ...
  • 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. ...
  • CHEBYSHEV TYPE INEQUALITIES INVOLVING GENERALIZED KATUGAMPOLA FRACTIONAL INTEGRAL OPERATORS 
    Choi, Junesang; Mumcu, Ilker; Set, Erhan (TAMKANG UNIV, GRAD SCHOOL LANG LIT, TAMSUI, TAIPEI, TAIWAN, 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, ...
  • Chebyshev-Gruss Type Inequalities for Hadamard k-Fractional Integrals 
    Iqbal, Sana; Mubeen, Shahid; Habib, Siddra; Tomar, Muharrem (RGN PUBL-DELHI, 2018)
    Integral inequalities are taken up to be important as they are useful in the study of different classes of differential and integral equations. During the past several years, many researchers have obtained various fractional ...
  • Complexity and bounds for disjunctive total bondage 
    Ciftci, Canan (ELSEVIER AMSTERDAM, 2021)
    A subset S subset of V(G) is a disjunctive total dominating set if each vertex has a neighbor in S or has at least two vertices in Sat distance two from it. The disjunctive total domination number gamma(d)(t)(G) is the ...
  • A comprehensive investigation on macro-micro crack interactions in functionally graded materials using ordinary-state based peridynamics 
    Ozdemir, M.; Imachi, M.; Tanaka, S.; Oterkus, S.; Oterkus, E. (ELSEVIER SCI LTD-OXFORD, 2022)
    In the present work, interactions between a macro-crack and various micro-crack configurations are studied extensively. Influence of different micro-crack configurations on propagation of a main crack is numerically examined ...
  • 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, ...
  • CONFORMABLE FRACTIONAL INTEGRALS AND RELATED NEW INTEGRAL INEQUALITIES 
    Akdemir, Ahmet Ocak; Ekinci, Alper; Set, Erhan (YOKOHAMA PUBL, 101, 6-27 SATSUKIGAOKA AOBA-KU, YOKOHAMA, 227-0053, JAPAN, 2017)
    In the present note, we have given the definition of conformable fractional integrals and some further properties. In the second part, we have established some Gruss type integral inequalities by using the bounded functions ...
  • Convex Functions and Some Inequalities in Terms of the Non-Newtonian Calculus 
    Iscan, Imdat; Salas, Seren; Unluyol, Erdal (AMER INST PHYSICS, 2 HUNTINGTON QUADRANGLE, STE 1NO1, MELVILLE, NY 11747-4501 USA, 2017)
    Differentiation and integration are basic operations of calculus and analysis. Indeed, they are many versions of the subtraction and addition operations on numbers, respectively. From 1967 till 1970 Michael Grossman and ...
  • CURVES AND RULED SURFACES ACCORDING TO ALTERNATIVE FRAME IN DUAL SPACE 
    Caliskan, Abdussamet; Senyurt, Suleyman (ANKARA UNIV, FAC SCI, DOGOL CADDESI, ANKARA, 06100, TURKEY, 2020)
    In this paper, the vectorial moments of the alternative vectors are expressed in terms of altrenative frame. According to the new versions of these vectorial moments, the parametric equations of the closed ruled surfaces ...

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