Yazar "Akkurt, Abdullah" seçeneğine göre listele

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    Generalized Ostrowski type integral inequalities involving generalized moments via local fractional integrals
    (Springer-Verlag Italia Srl, 2017) Akkurt, Abdullah; Sarıkaya, Mehmet Zeki; Budak, Hüseyin; Yıldırım, Hüseyin
    In this paper, we obtain generalized Ostrowski type integral inequalities involving moments of a continuous random variables via local fractional integrals.
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    Hermite-Hadamard’s inequalities for conformable fractional integrals
    (Balikesir University, 2019) Sarıkaya, Mehmet Zeki; Akkurt, Abdullah; Budak, Hüseyin; Yıldırım, Merve Esra; Yıldırım, Hüseyin
    In this paper, we establish the Hermite-Hadamard type inequalities for conformable fractional integral and we will investigate some integral inequalities connected with the left and right-hand side of the Hermite-Hadamard type inequalities for conformable fractional integral. The results presented here would provide generalizations of those given in earlier works and we show that some of our results are better than the other results with respect to midpoint inequalities. © 2019 Balikesir University. All rights reserved.
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    On Some Special Functions for Conformable Fractional Integrals
    (Mehmet Zeki SARIKAYA, 2020) Sarıkaya, Mehmet Zeki; Akkurt, Abdullah; Budak, Hüseyin; Türkay, Merve Esra; Yildirim, Hüseyin
    In this paper, we introduce the $\left( \alpha ,k\right) $-gamma function$,\ \left( \alpha ,k\right) $-beta function, Pochhammer symbol $\left( x\right) _{n,k}^{\alpha }\ $and Laplace transforms for conformable fractional integrals. We prove several properties generalizing those satisfied by the classical gamma function, beta function and Pochhammer symbol. The results presented here would provide generalizations of those given in earlier works.                                                                                                                                                                                                                                                      
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    On the Hadamard's type inequalities for co-ordinated convex functions via fractional integrals
    (Elsevier Science Bv, 2017) Akkurt, Abdullah; Sarıkaya, Mehmet Zeki; Budak, Hüseyin; Yıldırım, Hüseyin
    In this paper, we establish two identities for functions of two variables and apply them to give new Hermite-Hadamard type fractional integral inequalities for double fractional integrals involving functions whose derivatives are bounded or co-ordinates convex function on Delta := [a, b] x [c, d] in R-2 with a < b, c < d. (C) 2016 The Authors. Production and hosting by Elsevier B.V. on behalf of King Saud University.
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    ON THE HERMITE-HADAMARD TYPE INEQUALITIES FOR CO-ORDINATED CONVEX FUNCTIONS
    (Ministry Communications & High Technologies Republic Azerbaijan, 2021) Akkurt, Abdullah; Sarikaya, M. Zeki; Budak, Hüseyin; Yildirim, Hüseyin
    In this paper, we obtain two identities for functions of two variables and apply them to give new Hermite-Hadamard type integral inequalities for double integrals involving functions whose derivatives are bounded or co-ordinates are convex function on Delta := [a, b] x [c, d] in R-2 with a < b, c < d.
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    Quantum Ostrowski-type inequalities for twice quantum differentiable functions in quantum calculus
    (De Gruyter Poland Sp Z O O, 2021) Ali, Muhammad Aamir; Budak, Hüseyin; Akkurt, Abdullah; Chu, Yu-Ming
    In this paper, we first prove an identity for twice quantum differentiable functions. Then, by utilizing the convexity of vertical bar(b)D(q)(2)f vertical bar and vertical bar(a)D(q)(2)f vertical bar, we establish some quantum Ostrowski inequalities for twice quantum differentiable mappings involving q(a) and q(b)-quantum integrals. The results presented here are the generalization of already published ones.
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    Quantum variant of Montgomery identity and Ostrowski-type inequalities for the mappings of two variables
    (Springer, 2021) Ali, Muhammad Aamir; Chu, Yu-Ming; Budak, Hueseyin; Akkurt, Abdullah; Yildirim, Hueseyin; Zahid, Manzoor Ahmed
    In this investigation, we demonstrate the quantum version of Montgomery identity for the functions of two variables. Then we use the result to derive some new Ostrowski-type inequalities for the functions of two variables via quantum integrals. We also consider the particular cases of the key results and offer some new integral inequalities.