Hermite–Jensen–Mercer type inequalities for conformable integrals and related results

被引：0
作者：
Saad Ihsan Butt
Mehroz Nadeem
Shahid Qaisar
Ahmet Ocak Akdemir
Thabet Abdeljawad
机构：
[1] Comsat University Islamabad,Department of Mathematics, Faculty of Science and Letters
[2] Agri Ibrahim Cecen University,Department of Mathematics and General Sciences
[3] Prince Sultan University,Department of Medical Research
[4] China Medical University,Department of Computer Science and Information Engineering
[5] Asia University,undefined
来源：
Advances in Difference Equations | / 2020卷
关键词：
Convex functions; Hermite–Hadamard inequalities; Jensen–Mercer inequality; Conformable integrals;
D O I：
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学科分类号：
摘要：
In this paper, certain Hermite–Jensen–Mercer type inequalities are proved via conformable integrals of arbitrary order. We establish some different and new fractional Hermite–Hadamard–Mercer type inequalities for a differentiable function f whose derivatives in the absolute values are convex.
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[1]  
Özcan S.(2019)Some new Hermite–Hadamard type inequalities for s-convex functions and their applications J. Inequal. Appl. 2019 1087-1100
[2]  
İşcan İ.(2019)Simpson’s type integral inequalities for AIMS Math. 4 551-564
[3]  
Rashid S.(2019)-fractional integrals and their applications Mathematics 7 2771-2779
[4]  
Akdemir A.O.(2019)Some estimates for generalized Riemann–Liouville fractional integrals of exponentially convex functions and their applications Mathematics 7 82-87
[5]  
Jarad F.(2020)Hermite–Hadamard type inequalities for the class of convex functions on time scale Mathematics 7 87-99
[6]  
Noor M.A.(2019)Inequalities by means of generalized proportional fractional integral operators with respect to another function Symmetry 11 1660-5446
[7]  
Noor K.I.(2003)Fractional integral inequalities for strongly J. Inequal. Pure Appl. Math. 4 60-76
[8]  
Rashid S.(2006)-preinvex functions for a Linear Algebra Appl. 418 2403-2407
[9]  
Abdeljawad T.(2009)th order differentiable functions Nonlinear Anal. 71 273-284
[10]  
Jarad F.(2014)A varient of Jensen’s inequality Linear Algebra Appl. 456 210-216
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