Scopus İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651
Browse
13 results
Search Results
Article Two-Variable Quantum Integral Inequalities of Simpson-Type Based on Higher-Order Generalized Strongly Preinvex and Quasi-Preinvex Functions(MDPI AG, 2020) Rashid, Saima; Baleanu, Dumitru; Idrees, Muhammad; Kalsoom, Humaira; Chu, Yu-MingArticle More New Results on Integral Inequalities for Generalized K-Fractional Conformable Integral Operators(American Institute of Mathematical Sciences, 2021) Rashid, Saima; Noor, Muhammad Aslam; Jarad, Fahd; Kalsoom, Humaira; Chu, Yu-MingArticle Inequalities by Means of Generalized Proportional Fractional Integral Operators with Respect to Another Function(MDPI AG, 2019) Rashid, Saima; Noor, Muhammad Aslam; Jarad, Fahd; Kalsoom, Humaira; Chu, Yu-MingArticle Citation - WoS: 7Citation - Scopus: 7New (P, Q)-Estimates for Different Types of Integral Inequalities Via (Α, M)-Convex Mappings(de Gruyter Poland Sp Z O O, 2020) Latif, Muhammad Amer; Rashid, Saima; Baleanu, Dumitru; Chu, Yu-Ming; Kalsoom, HumairaIn the article, we present a new (p, q)-integral identity for the first-order (p, q)-differentiable functions and establish several new (p, q)-quantum error estimations for various integral inequalities via (a alpha, m)-convexity. We also compare our results with the previously known results and provide two examples to show the superiority of our obtained results.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: 12Citation - Scopus: 12More New Results on Integral Inequalities for Generalized K-Fractional Conformable Integral Operators(Amer inst Mathematical Sciences-aims, 2021) Rashid, Saima; Jarad, Fahd; Noor, Muhammad Aslam; Kalsoom, Humaira; Chu, Yu-MingThis paper aims to investigate the several generalizations by newly proposed generalized K-fractional conformable integral operator. Based on these novel ideas, we derived a novel framework to study for Cebysev and Polya-Szego type inequalities by generalized K-fractional conformable integral operator. Several special cases are apprehended in the light of generalized fractional conformable integral. This novel strategy captures several existing results in the relative literature. We also aim at showing important connections of the results here with those including Riemann-Liouville fractional integral operator.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: 24Citation - Scopus: 23Two-Variable Quantum Integral Inequalities of Simpson-Type Based on Higher-Order Generalized Strongly Preinvex and Quasi-Preinvex Functions(Mdpi, 2020) Rashid, Saima; Idrees, Muhammad; Chu, Yu -Ming; Baleanu, Dumitru; Kalsoom, HumairaIn this paper, we present a new definition of higher-order generalized strongly preinvex functions. Moreover, it is observed that the new class of higher-order generalized strongly preinvex functions characterize various new classes as special cases. We acquire a new q1q2-integral identity, then employing this identity, we establish several two-variable q1q2-integral inequalities of Simpson-type within a class of higher-order generalized strongly preinvex and quasi-preinvex functions. Finally, the utilities of our numerical approximations have concrete applications.Article Citation - WoS: 32Citation - Scopus: 51New Multi-Parametrized Estimates Having Pth-Order Differentiability in Fractional Calculus for Predominating H-Convex Functions in Hilbert Space(Mdpi, 2020) Kalsoom, Humaira; Hammouch, Zakia; Ashraf, Rehana; Baleanu, Dumitru; Chu, Yu-Ming; Rashid, SaimaIn Hilbert space, we develop a novel framework to study for two new classes of convex function depending on arbitrary non-negative function, which is called a predominating PLANCK CONSTANT OVER TWO PI-convex function and predominating quasiconvex function, with respect to eta, are presented. To ensure the symmetry of data segmentation and with the discussion of special cases, it is shown that these classes capture other classes of eta-convex functions, eta-quasiconvex functions, strongly PLANCK CONSTANT OVER TWO PI-convex functions of higher-order and strongly quasiconvex functions of a higher order, etc. Meanwhile, an auxiliary result is proved in the sense of kappa-fractional integral operator to generate novel variants related to the Hermite-Hadamard type for pth-order differentiability. It is hoped that this research study will open new doors for in-depth investigation in convexity theory frameworks of a varying nature.