Yazar "Zhang, Zhiyue" seçeneğine göre listele

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    A new extension of quantum Simpson's and quantum Newton's type inequalities for quantum differentiable convex functions
    (Wiley, 2021) Ali, Muhammad Aamir; Budak, Huseyin; Zhang, Zhiyue
    In this paper, we prove two identities involving quantum derivatives, quantum integrals, and certain parameters. Using the newly proved identities, we prove new inequalities of Simpson's and Newton's type for quantum differentiable convex functions under certain assumptions. Moreover, we discuss the special cases of our main results and obtain some new and existing Simpson's type inequalities, Newton's type inequalities, midpoint type inequalities, and trapezoidal type inequalities.
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    NEW INEQUALITIES OF OSTROWSKI TYPE FOR CO-ORDINATED CONVEX FUNCTIONS VIA GENERALIZED FRACTIONAL INTEGRALS
    (Univ Nis, 2020) Ali, Muhammad Aamir; Budak, Huseyin; Zhang, Zhiyue
    In this paper, we have established new inequalities of Ostrowski type for co-ordinated convex function by using generalized fractional integral. We have also discussed some special cases of our established results.
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    On generalized fractional inequalities for functions of bounded variation with two variables
    (Semnan Univ, 2022) Budak, Hüseyin; Özçelik, Kubilay; Kashuri, Artion; Ali, Muhammad Aamir; Zhang, Zhiyue
    In this paper, we firstly obtain some identities via generalized fractional integrals which generalize some important fractional integrals such as the Riemann-Liouville fractional integrals, the Hadamard fractional integrals, etc. Then by utilizing these equalities we establish some Ostrowski and Trapezoid type inequalities for functions of bounded variation with two variables. Moreover, we give some inequalities involving Hadamard fractional integrals as special cases of our main results.
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    ON HERMITE-HADAMARD TYPE INEQUALITIES FOR INTERVAL-VALUED MULTIPLICATIVE INTEGRALS
    (2020) Alı, Muhammad Aamir; Zhang, Zhiyue; Budak, Hüseyin; Sarıkaya, Mehmet Zeki
    In this work, we define multiplicative integrals for interval-valued functions. We establish some new Hermite-Hadamard type inequalities in the setting of interval-valued multiplicative calculus and give some examples to illustrate our main results. We also discuss special cases of our main results which are the extension of already established results.
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    On some inequalities for submultiplicative functions
    (Springernature, 2021) Ali, Muhammad Aamir; Sarikaya, Mehmet Zeki; Budak, Huseyin; Zhang, Zhiyue
    In this work, authors establish Hermite-Hadamard inequalities for submultiplicative functions and give some more inequalities related to Hermite-Hadamard inequalities. We also give new inequalities of Hermite-Hadamard type in the special cases of our main results.
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    Quantum Hermite-Hadamard type inequalities and related inequalities for subadditive functions
    (Univ Miskolc Inst Math, 2023) Ali, Muhammad Aamir; Sarikaya, Mehmet Zeki; Budak, Huseyin; Zhang, Zhiyue
    In this work, Hermite-Hadamard type inequalities for subadditive functions via quantum integrals are established. Moreover, Hermite-Hadamard type inequalities for the product of two subadditive functions are also obtained. It is worth to mentioning that some existing inequalities of Hermite-Hadamard type for subadditive functions are obtained by considering the limit of the real number q ? (0, 1) as q ? 1(-) in the key results.
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    Some new Simpson's type inequalities for coordinated convex functions in quantum calculus
    (Wiley, 2021) Ali, Muhammad Aamir; Budak, Huseyin; Zhang, Zhiyue; Yildirim, Huseyin
    In this article, by using the notion of newly defined q(1)q(2) derivatives and integrals, some new Simpson's type inequalities for coordinated convex functions are proved. The outcomes raised in this paper are extensions and generalizations of the comparable results in the literature on Simpson's inequalities for coordinated convex functions.