Scopus İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651
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Article Citation - WoS: 70Citation - Scopus: 65On Polya-Szego and Cebysev Type Inequalities Via Generalized K-Fractional Integrals(Springer, 2020) Jarad, Fahd; Kalsom, Humaira; Chu, Yu-Ming; Rashid, Saima; Kalsoom, HumairaIn this paper, we introduce the generalized k-fractional integral in terms of a new parameter k > 0, present some new important inequalities of Polya-Szego and Cebysev types by use of the generalized k-fractional integral. Our consequences with this new integral operator have the abilities to implement the evaluation of many mathematical problems related to real world applications.Article Citation - WoS: 49Citation - Scopus: 64New Estimates Considering the Generalized Proportional Hadamard Fractional Integral Operators(Springer, 2020) Rashid, Saima; Jarad, Fahd; Kalsoom, Humaira; Chu, Yu-Ming; Zhou, Shuang-ShuangIn the article, we describe the Gruss type inequality, provide some related inequalities by use of suitable fractional integral operators, address several variants by utilizing the generalized proportional Hadamard fractional (GPHF) integral operator. It is pointed out that our introduced new integral operators with nonlocal kernel have diversified applications. Our obtained results show the computed outcomes for an exceptional choice to the GPHF integral operator with parameter and the proportionality index. Additionally, we illustrate two examples that can numerically approximate these operators.Article Citation - WoS: 85Citation - Scopus: 108Inequalities by Means of Generalized Proportional Fractional Integral Operators With Respect To Another Function(Mdpi, 2019) Jarad, Fahd; Noor, Muhammad Aslam; Kalsoom, Humaira; Chu, Yu-Ming; Rashid, SaimaIn this article, we define a new fractional technique which is known as generalized proportional fractional (GPF) integral in the sense of another function Psi. The authors prove several inequalities for newly defined GPF-integral with respect to another function Psi. Our consequences will give noted outcomes for a suitable variation to the GPF-integral in the sense of another function Psi and the proportionality index sigma. Furthermore, we present the application of the novel operator with several integral inequalities. A few new properties are exhibited, and the numerical approximation of these new operators is introduced with certain utilities to real-world problems.Article Citation - WoS: 34Citation - Scopus: 39New Estimates of Q1q2-Ostrowski Inequalities Within a Class of N-Polynomial Prevexity of Functions(Hindawi Ltd, 2020) Idrees, Muhammad; Baleanu, Dumitru; Chu, Yu-Ming; Kalsoom, HumairaIn this article, we develop a novel framework to study for a new class of preinvex functions depending on arbitrary nonnegative function, which is calledn-polynomial preinvex functions. We use then-polynomial preinvex functions to develop q(1)q(2)-analogues of the Ostrowski-type integral inequalities on coordinates. Different features and properties of excitement for quantum calculus have been examined through a systematic way. We are discussing about the suggestions and different results of the quantum inequalities of the Ostrowski-type by inferring a new identity for q(1)q(2)-differentiable function. However, the problem has been proven to utilize the obtained identity, we give q(1)q(2)-analogues of the Ostrowski-type integrals inequalities which are connected with then-polynomial preinvex functions on coordinates. Our results are the generalizations of the results in earlier papers.