Yazar "Sarikaya, M.Z." seçeneğine göre listele

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    Diamond-alpha inequalities with two parameters on time scales
    (Transilvania University of Brasov 1, 2023) Benaissa, B.; Sarikaya, M.Z.
    In this article, we give a new version of n-tuple diamond-alpha Hölder inequality on time scales, this result generalizes some results known in the literature. Second, we present n-tuple diamond-alpha inequality with two parameters on time scales. It is a tool to generalize integral inequalities on time scales, its goal is to create an inequality restarted from the left side with a parameter to a right side with two parameters. Moreover, new Minkowski integral inequality with two parameters is given, and some interesting integral inequalities are found. © 2023, Transilvania University of Brasov 1. All rights reserved.
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    On some new quantum trapezoid-type inequalities for q-differentiable coordinated convex functions
    (Institute for Ionics, 2023) Wannalookkhee, Fongchan; Nonlaopon, Kamsing; Sarikaya, M.Z.; Budak, Hüseyin; Ali, Muhammad Aamir
    In this paper, we establish several new inequalities for q-differentiable coordinated convex functions that are related to the right side of Hermite–Hadamard inequalities for coordinated convex functions. We also show that the inequalities proved in this paper generalize the results given in earlier works. Moreover, we give some examples in order to demonstrate our main results. © 2023, The Author(s).
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    Some perturbed inequalities of Ostrowski type for twice differentiable functions
    (Publishing House of the Romanian Academy, 2021) Erden, Samet; Budak, Hüseyin; Sarikaya, M.Z.
    We establish new perturbed Ostrowski type inequalities for functions whose second derivatives are of bounded variation. In addition, we obtain some integral inequalities for absolutely continuous mappings. Finally, some inequalities related to Lipschitzian derivatives are given. © 2021, Publishing House of the Romanian Academy. All rights reserved.
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    SOME WEIGHTED INEQUALITIES for HIGHER-ORDER PARTIAL DERIVATIVES in TWO DIMENSIONS and ITS APPLICATIONS
    (The Indonesian Mathematical Society, 2020) Erden, Samet; Sarikaya, M.Z.
    We establish some Ostrowski type inequalities involving higher-order partial derivatives for two dimensional integrals on Lebesgue spaces (L?, Lp and L1). Some applications in Numerical Analysis in connection with cubature formula are given. Finally, with the help of obtained inequality, we establish applications for the kth moment of random variables. © 2020 The Indonesian Mathematical Society. All right reserved.