Refinements of quantum Hermite-Hadamard- type inequalities

被引:33
作者
Budak, Huseyin [1 ]
Khan, Sundas [2 ]
Ali, Muhammad Aamir [3 ]
Chu, Yu-Ming [4 ]
机构
[1] Duzce Univ, Fac Sci & Arts, Dept Math, Duzce, Turkey
[2] GC Women Univ, Dept Math, Sialkot, Pakistan
[3] Nanjing Normal Univ, Sch Math Sci, Jiangsu Key Lab NSLSCS, Nanjing 210023, Peoples R China
[4] Huzhou Univ, Dept Math, Huzhou 313000, Peoples R China
关键词
Hermite-Hadamard inequality; q-integral; quantum calculus; convex function; INTEGRAL-INEQUALITIES; CONVEX;
D O I
10.1515/math-2021-0029
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we first obtain two new quantum Hermite-Hadamard-type inequalities for newly defined quantum integral. Then we establish several refinements of quantum Hermite-Hadamard inequalities.
引用
收藏
页码:724 / 734
页数:11
相关论文
共 34 条
[21]  
Ernst T., 2012, COMPREHENSIVE TREATM
[22]  
Ernst T., 2000, HIST QCALCULUS NEW M
[23]  
Gauchman H, 2004, COMPUT MATH APPL, V47, P281, DOI [10.1016/S0898-1221(04)90025-9, 10.1016/S0898-1221(04)00012-4]
[24]  
Jackson F.H., 1910, Q. J. Pure Appl. Math, V41, P193
[25]   QUANTUM OSTROWSKI INEQUALITIES FOR q-DIFFERENTIABLE CONVEX FUNCTIONS [J].
Noor, Muhammad Aslam ;
Awan, Muhammad Uzair ;
Noor, Khalida Inayat .
JOURNAL OF MATHEMATICAL INEQUALITIES, 2016, 10 (04) :1013-1018
[26]   Some quantum integral inequalities via preinvex functions [J].
Noor, Muhammad Aslam ;
Noor, Khalida Inayat ;
Awan, Muhammad Uzair .
APPLIED MATHEMATICS AND COMPUTATION, 2015, 269 :242-251
[27]   Some quantum estimates for Hermite-Hadamard inequalities [J].
Noor, Muhammad Aslam ;
Noor, Khalida Inayat ;
Awan, Muhammad Uzair .
APPLIED MATHEMATICS AND COMPUTATION, 2015, 251 :675-679
[28]  
Pachpatte BG, 2005, NH MATH LIB, V67
[29]  
Peajcariaac J. E, 1992, Convex functions, partial orderings and statistical applications
[30]   QUANTUM HERMITE-HADAMARD INEQUALITIES FOR DOUBLE INTEGRAL AND q-DIFFERENTIABLE CONVEX FUNCTIONS [J].
Prabseang, Julalak ;
Nonlaopon, Kamsing ;
Tariboon, Jessada .
JOURNAL OF MATHEMATICAL INEQUALITIES, 2019, 13 (03) :675-686