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Browsing Matematik by Title

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  • On the Integral Inequalities for Riemann-Liouville and Conformable Fractional Integrals 
    Ozdemir, M. Emin; Akdemir, Ahmet Ocak; Set, Erhan; Ekinci, Alper (BIRKHAUSER-SINGAPORE, 2018)
    An integral operator is sometimes called an integral transformation. In the fractional analysis, Riemann-Liouville integral operator (transformation) of fractional integral is defined as S-alpha(x) = 1/Gamma(x) integral(x)(0) ...
  • ON THE MATRIX REPRESENTATION OF 5th ORDER BEZIER CURVE AND ITS DERIVATIVES IN E3 
    Kilicoglu, Seyda; Senyurt, Suleyman (ANKARA UNIV, FAC SCI-ANKARA, 2022)
    Using the matrix representation form, the first, second, third, fourth, and fifth derivatives of 5th order Bezier curves are examined based on the control points in E-3. In addition to this, each derivative of 5th order ...
  • On the matrix representation of Bezier curves and derivatives in E3 
    Kilicoglu, Seyda; Senyurt, Suleyman (YILDIZ TECHNICAL UNIV-ISTANBUL, 2023)
    In this study we have examined, the coefficient matrix of a cubic, 4th order and nth order Bezier curves using combinations as the elements to get a pattern. Also their first, second, third derivativies are examined based ...
  • ON THE SABBAN FRAME BELONGING TO INVOLUTE-EVOLUTE CURVES 
    Altun, Yasin; Cevahir, Ceyda; Kocayigit, Huseyin; Senyurt, Suleyman (VINCA INST NUCLEAR SCI, MIHAJLA PETROVICA-ALASA 12-14 VINCA, 11037 BELGRADE. POB 522, BELGRADE, 11001, SERBIA, 2019)
    In this paper, we investigate special Smarandache curves with regard to Sabban frame of involute curve. We create Sabban frame belonging to spherical indicatrix of involute curve. Smarandache curves are explained by Sabban ...
  • On the Smarandache Curves of Spatial Quaternionic Involute Curve 
    Altun, Yasin; Cevahir, Ceyda; Senyurt, Suleyman (NATL ACAD SCIENCES INDIA, 5 LAJPATRAI RD, ALLAHABAD 211002, INDIA, 2019)
    In this study, the spatial quaternionic curve and the relationship between Frenet frames of involute curve of spatial quaternionic curve are expressed by using the angle between the Darboux vector and binormal vector of ...
  • Optimal successive complementary expansion for singular differential equations 
    Say, Fatih (WILEY, 111 RIVER ST, HOBOKEN 07030-5774, NJ USA, 2020)
    In this article, we consider a singular ordinary differential equation of a two-point boundary value problem in an asymptotic sense. We discuss the method of successive complementary expansion (SCEM) with asymptotics beyond ...
  • OR and AND-products of ifp-intuitionistic fuzzy soft sets and their applications in decision making 
    Karaaslan, Faruk; Karatas, Serkan (IOS PRESS, NIEUWE HEMWEG 6B, 1013 BG AMSTERDAM, NETHERLANDS, 2016)
    In this paper, we define OR and AND-products between intuitionistic fuzzy parameterized intuitionistic fuzzy soft sets [13] (ifp-intuitionistic fuzzy soft sets) and we then propose a decision making method called Lambda-aggr ...
  • 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 ...
  • 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 ...
  • 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.
  • (p, q)-Analysis of Montgomery identity and estimates of (p, q)-bounds with applications 
    Chu, Yu-Ming; Talib, Sadia; Set, Erhan; Awan, Muhammad Uzair; Noor, Muhammad Aslam (SPRINGER NEW YORK, 2021)
    The main objective of this article is to establish a new post quantum version of Montgomery identity. Some estimates of associated post quantum bounds are also obtained. In order to obtain the main results of the article, ...
  • (p,h)-Convex Functions Associated with Hadamard and Fejer-Hadamard Inequalities via k-Fractional Integral Operators 
    Zhang, Xiujun; Farid, Ghulam; Demirel, Ayse Kuebra; Jung, Chahn Yong (HINDAWI LTD-LONDON, 2022)
    In this article, generalized versions of the k-fractional Hadamard and Fejer-Hadamard inequalities are constructed. To obtain the generalized versions of these inequalities, k-fractional integral operators including the ...
  • Partial Sum Approaches to Mathematical Parameters of Some Growth Models 
    Korkmaz, Mehmet (AMER INST PHYSICS-MELVILLE, 2016)
    Growth model is fitted by evaluating the mathematical parameters, a, b and c. In this study, the method of partial sums were used. For finding the mathematical parameters, firstly three partial sums were used, secondly ...
  • 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 ...
  • Porous exponential domination number of some graphs 
    Aytac, Aysun; ciftci, Canan (WILEY, 111 RIVER ST, HOBOKEN 07030-5774, NJ USA, 2020)
    Let G be a graph and S subset of V(G). If n-ary sumation u is an element of S12d(u,v)-1 >= 1 for all v is an element of V(G), then S is a porous exponential dominating set for G, where d(u, v) is the distance between ...
  • Principal Normal Vectors Belonging to Striction Curves of Frenet and Bertrandian Frenet Ruled Surfaces 
    Caliskan, Abdussamet; Senyurt, Suleyman (AMER INST PHYSICS, 2 HUNTINGTON QUADRANGLE, STE 1NO1, MELVILLE, NY 11747-4501 USA, 2017)
    In this study, principal normal vectors belonging to striction curves of Frenet and Bertrandian Frenet ruled surfaces were found. Also, it is examined whether these curves are included in Bertrand curves pair or not.
  • Quantitative spectral perturbation theory for compact operators on a Hilbert space 
    Sarihan, Ayse Guven; Bandtlow, Oscar F. (ELSEVIER SCIENCE INC NEW YORK, 2021)
    We introduce compactness classes of Hilbert space operators by grouping together all operators for which the associated singular values decay at a certain speed and establish upper bounds for the norm of the resolvent of ...
  • QUANTUM OSTROWSKI TYPE INEQUALITIES FOR PRE-INVEX FUNCTIONS 
    Ali, Muhammad Aamir; Budak, Huseyin; Sarikaya, Mehmet Zeki; Set, Erhan (WALTER DE GRUYTER GMBH-BERLIN, 2022)
    In this paper, using the quantum derivatives and quantum integrals, we prove some new quantum Ostrowski's type inequalities for pre-invex functions. Furthermore, in the special cases of newly developed inequalities, we ...
  • Quasicrystal patterns in a neural field model 
    Avitabile, Daniele; Coombes, Stephen; Gokce, Aytul (AMER PHYSICAL SOC, ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA, 2020)
    Doubly periodic patterns in planar neural field models have been extensively studied since the 1970s for their role in explaining geometric visual hallucinations. The study of activity patterns that lack translation ...
  • 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. ...

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