Quantum Analogs of Ostrowski-Type Inequalities for Raina's Function correlated with Coordinated Generalized φ-Convex Functions

被引:18
|
作者
Chu, Hong-Hu [1 ]
Kalsoom, Humaira [2 ]
Rashid, Saima [3 ]
Idrees, Muhammad [4 ]
Safdar, Farhat [5 ]
Chu, Yu-Ming [6 ]
Baleanu, Dumitru [7 ,8 ]
机构
[1] Hunan Univ, Coll Civil Engn, Changsha 410082, Hunan, Peoples R China
[2] Zhejiang Univ, Sch Math Sci, Hangzhou 310027, Peoples R China
[3] Govt Coll Univ, Dept Math, Faisalabad 38000, Pakistan
[4] Zhejiang Univ, Dept Phys, Zhejiang Prov Key Lab Quantum Technol & Device, Hangzhou 310027, Peoples R China
[5] SBK Women Univ, Dept Math, Quetta 87300, Pakistan
[6] Huzhou Univ, Dept Math, Huzhou 313000, Peoples R China
[7] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey
[8] Inst Space Sci, Magurele 077125, Romania
来源
SYMMETRY-BASEL | 2020年 / 12卷 / 02期
关键词
quantum calculus; Ostrowski-type inequalities; coordinated generalized phi-convex functions; Raina's function; HERMITE-HADAMARD TYPE; INTEGRAL-INEQUALITIES; DIFFERENTIABLE MAPPINGS; REAL NUMBERS; (ALPHA;
D O I
10.3390/sym12020308
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
In this paper, the newly proposed concept of Raina's function and quantum calculus are utilized to anticipate the quantum behavior of two variable Ostrowski-type inequalities. This new technique is the convolution of special functions with hypergeometric and Mittag-Leffler functions, respectively. This new concept will have the option to reduce self-similitudes in the quantum attractors under investigation. We discuss the implications and other consequences of the quantum Ostrowski-type inequalities by deriving an auxiliary result for a q1q2-differentiable function by inserting Raina's functions. Meanwhile, we present a numerical scheme that can be used to derive variants for Ostrowski-type inequalities in the sense of coordinated generalized phi-convex functions with the quantum approach. This new scheme of study for varying values of parameters with the involvement of Raina's function yields extremely intriguing outcomes with an illustrative example. It is supposed that this investigation will provide new directions for the capricious nature of quantum theory.
引用
收藏
页数:26
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