Yazar "Vivas-Cortez, Miguel J. J." seçeneğine göre listele

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    Generalized fractional Hermite-Hadamard type inclusions for co-ordinated convex interval-valued functions
    (De Gruyter Poland Sp Z O O, 2022) Vivas-Cortez, Miguel J. J.; Kara, Hasan; Budak, Hüseyin; Ali, Muhammad Aamir; Chasreechai, Saowaluck
    In this article, we introduce the notions of generalized fractional integrals for the interval-valued functions (IVFs) of two variables. We establish Hermite-Hadamard (H-H) type inequalities and some related inequalities for co-ordinated convex IVFs by using the newly defined integrals. The fundamental benefit of these inequalities is that these can be turned into classical H-H inequalities and Riemann-Liouville fractional H-H inequalities, and new k k -Riemann-Liouville fractional H-H inequalities can be obtained for co-ordinated convex IVFs without having to prove each one separately.
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    Post-quantum Ostrowski type integral inequalities for functions of two variables
    (Amer Inst Mathematical Sciences-Aims, 2022) Vivas-Cortez, Miguel J. J.; Ali, Muhammad Aamir; Budak, Hüseyin; Sial, Ifra Bashir
    In this study, we give the notions about some new post-quantum partial derivatives and then use these derivatives to prove an integral equality via post-quantum double integrals. We establish some new post-quantum Ostrowski type inequalities for differentiable coordinated functions using the newly established equality. We also show that the results presented in this paper are the extensions of some existing results.
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    Some Parameterized Quantum Simpson's and Quantum Newton's Integral Inequalities via Quantum Differentiable Convex Mappings
    (Hindawi Ltd, 2021) You, Xue Xiao; Ali, Muhammad Aamir; Budak, Hüseyin; Vivas-Cortez, Miguel J. J.; Qaisar, Shahid
    In this work, two generalized quantum integral identities are proved by using some parameters. By utilizing these equalities, we present several parameterized quantum inequalities for convex mappings. These quantum inequalities generalize many of the important inequalities that exist in the literature, such as quantum trapezoid inequalities, quantum Simpson's inequalities, and quantum Newton's inequalities. We also give some new midpoint-type inequalities as special cases. The results in this work naturally generalize the results for the Riemann integral.