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Browsing Matematik by Title

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  • On new general integral inequalities for s-convex functions 
    Iscan, Imdat; Ozdemir, M. Emin; Set, Erhan (ELSEVIER SCIENCE INCSTE 800, 230 PARK AVE, NEW YORK, NY 10169, 2014)
    In this paper, the authors establish some new estimates for the remainder term of the midpoint, trapezoid, and Simpson formula using functions whose derivatives in absolute value at certain power are s-convex. Some ...
  • On New Generalizations of Hermite-Hadamard Type Inequalities via Atangana-Baleanu Fractional Integral Operators 
    Set, Erhan; Akdemir, Ahmet Ocak; Karaoglan, Ali; Abdeljawad, Thabet; Shatanawi, Wasfi (MDPI BASEL, 2021)
    Fractional operators are one of the frequently used tools to obtain new generalizations of clasical inequalities in recent years and many new fractional operators are defined in the literature. This development in the field ...
  • 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 New Inequalities of Hermite Hadamard Type for Functions Whose Second Derivatives in Absolute Value Are s-Convex 
    Set, Erhan; Korkut, Necla (AMER INST PHYSICS-MELVILLE, 2016)
    In this paper, we establish several inequalities of the right hand side of Hermite-Hadamard inequalities for functions whose second derivatives are s-convex in the second sense by using Holder and generalied Holder inequalities
  • On New Inequalities of Hermite-Hadamard type for generalized s-convex functions 
    Mumcu, Ilker; Set, Erhan (AMER INST PHYSICS, 2 HUNTINGTON QUADRANGLE, STE 1NO1, MELVILLE, NY 11747-4501 USA, 2016)
    In this work, we establish new Hermite-Hadamard type inequalities for generalized s-convex functions in the second sense via fractional integrals on fractal sets R-alpha of real line numbers.
  • On new inequalities of Hermite-Hadamard-Fejer type for convex functions via fractional integrals 
    Iscan, Imdat; Sarikaya, M. Zeki; Sarikaya, M. Zeki; Set, Erhan (ELSEVIER SCIENCE INCSTE 800, 230 PARK AVE, NEW YORK, NY 10169, 2015)
    In this paper, we establish some weighted fractional inequalities for differentiable mappings whose derivatives in absolute value are convex. These results are connected with the celebrated Hermite-Hadamard-Fejer type ...
  • 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 ...
  • On New Integral Inequalities via Geometric-Arithmetic Convex Functions with Applications 
    Avci-Ardic, Merve; Akdemir, Ahmet Ocak; Set, Erhan (UNIV MARAGHEH-MARAGHEH, 2022)
    In this study, new Hermite-Hadamard type inequalities are generated for geometric-arithmetic functions with the help of an integral equation proved for differentiable functions. In proofs, some classical integral inequalities, ...
  • On New Ostrowski Type Integral Inequalities 
    Sarikaya, Mehmet Zeki; Set, Erhan (CHIANG MAI UNIV, FAC SCIENCE239 HUAY KAEW RD, T SUTHEP, CHIANG MAI 50200, THAILAND, 2014)
    In this article, we give a new Montgomery type identity and using this identity establish a new Ostrowski type inequality and its perturbed inequality forms.
  • On new Simpson type inequalities for quasi-convex functions via Riemann-Liouville integrals 
    Ozdemir, M. Emin; Set, Erhan; Uygun, Nazli (AMER INST PHYSICS, 2 HUNTINGTON QUADRANGLE, STE 1NO1, MELVILLE, NY 11747-4501 USA, 2016)
    In this note, some new Simpson-type inequalities for functions whose derivatives of absolute value are quasi-convex functions with the help of Riemann-Liouville fractional integrals are obtained. Also by special selections ...
  • On operator GA-convex functions in Hilbert spaces 
    Altunc, Cansu; Ozturk Mert, Rukiye; Unluyol, Erdal (AMER INST PHYSICS, 2 HUNTINGTON QUADRANGLE, STE 1NO1, MELVILLE, NY 11747-4501 USA, 2018)
    In this paper, it is defined the operator GA-convex functions for continuous functions of self-adjoint operators in Hilbert spaces. And then it is obtained some new Hermite-Hadamard type inequalities for this class of functions.
  • ON RULED SURFACES CONSTRUCTED BY THE EVOLUTION OF A POLYNOMIAL SPACE CURVE 
    Eren, Kemal; Ayvaci, Kebire Hilal; Senyurt, Sueleyman (EDITURA BIBLIOTHECA-BIBLIOTHECA PUBL HOUSE-TARGOVISTE, 2023)
    In this paper, we present the evolutions of the ruled surfaces constructed by the tangent, normal-like, and binormal-like vector fields of a polynomial space curve. These evolutions of the ruled surfaces depend on the ...
  • On Ruled Surfaces with a Sannia Frame in Euclidean 3-space 
    Senyurt, Suleyman; Eren, Kemal (KYUNGPOOK NATL UNIV, DEPT MATHEMATICS-TAEGU, 2022)
    In this paper we define a new family of ruled surfaces using an othonormal Sannia frame defined on a base consisting of the striction curve of the tangent, the princi-pal normal, the binormal and the Darboux ruled surface. ...
  • On Some Characterizations of Ruled Surface of a Closed Timelike Curve in Dual Lorentzian Space 
    Bektas, Ozcan; Senyurt, Suleyman (SPRINGER BASEL AG-BASEL, 2012)
    In this paper, we investigate the relations between the pitch, the angle of pitch and drall of parallel ruled surface of a closed curve in dual Lorentzian space.
  • 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 ...

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