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Browsing Matematik by Title

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  • 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 ...
  • On some generalized integral inequalities for functions whose second derivatives in absolute values are convex 
    Set, Erhan; Ekinci, Alper (WILEY HOBOKEN, 2021)
    In this article, general integral inequalities are obtained for functions whose absolute value of the second derivative is convex. These inequalities are more general versions of some results in the literature and we ...
  • On some generalized integral inequalities for functions whose second derivatives in absolute values are convex 
    Set, Erhan; Ekinci, Alper (WILEY-HOBOKEN, 2024)
    In this article, general integral inequalities are obtained for functions whose absolute value of the second derivative is convex. These inequalities are more general versions of some results in the literature and we ...
  • On Some Hadamard-Type Inequalities for (r, m)-Convex Functions 
    Ozdemir, M. Emin; Set, Erhan; Akdemir, Ahmet Ocak (PRAIRIE VIEW A & M UNIV, DEPT MATHEMATICS-PRAIRIE VIEW, 2014)
    In this paper, we define a new class of convex functions which is called (r, m)-convex functions. We also prove some Hadamard's type inequalities based on this new definition.
  • On some inequalities for s-convex functions and applications 
    Ozdemir, Muhamet Emin; Yildiz, Cetin; Akdemir, Ahmet Ocak; Set, Erhan (SPRINGERONE NEW YORK PLAZA, SUITE 4600 , NEW YORK, NY 10004, UNITED STATES, 2013)
    Some new results related to the left-hand side of the Hermite-Hadamard type inequalities for the class of functions whose second derivatives at certain powers are s-convex functions in the second sense are obtained. Also, ...
  • On some integral inequalities for twice differentiable mappings 
    Ozdemir, M. Emin; Sarkaya, Mehmet Zeki; Set, Erhan (UNIV BABES-BOLYAIMIHAIL KOGALNICEANU NR. 1, CLUJ-NAPOCA RO-3400, ROMANIA, 2014)
    In this paper, we establish several new inequalities for some twice differantiable mappings. Then, we apply these inequalities to obtain new midpoint, trapezoid and perturbed trapezoid rules. Finally, some applications for ...
  • 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.
  • 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 ...
  • On the asymptotic behavior of a second-order general differential equation 
    Say, Fatih (WILEY HOBOKEN, 2022)
    Studying ordinary or partial differential equations or integrals using traditional asymptotic analysis, unfortunately, fails to extract the exponentially small terms and fails to derive some of their asymptotic features. ...
  • On the Differential Geometric Elements of the Involute D-Scroll in E-3 
    Kilicoglu, Seyda; Senyurt, Suleyman (SPRINGER BASEL AGPICASSOPLATZ 4, BASEL 4052, SWITZERLAND, 2015)
    Deriving curves based on the other curves is a subject in geometry. Involute-evolute curves, Bertrand curves are this kind of curves. By using the similiar method we produce a new ruled surface based on the other ruled ...
  • 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.

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