Results 41 to 50 of about 264 (118)
Jensen–Mercer inequality for GA-convex functions and some related inequalities
Journal of Inequalities and Applications, 2020 In this paper, firstly, we prove a Jensen–Mercer inequality for GA-convex functions. After that, we establish weighted Hermite–Hadamard’s inequalities for GA-convex functions using the new Jensen–Mercer inequality, and we establish some new inequalities ...
İmdat İşcan
doaj +1 more source
Advances in Optimization and Nonlinear Analysis [PDF]
, 2022 The present book focuses on that part of calculus of variations, optimization, nonlinear analysis and related applications which combines tools and methods from partial differential equations with geometrical techniques.
core +1 more source
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 In this article, generalized versions of the k‐fractional Hadamard and Fejér‐Hadamard inequalities are constructed. To obtain the generalized versions of these inequalities, k‐fractional integral operators including the well‐known Mittag‐Leffler function are utilized.
Xiujun Zhang +4 more
wiley +1 more source
The Strong Convex Functions and Related Inequalities
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 The study of convex functions is one of the most researched of the classical fields. Analysis of the geometric characteristics of these functions is a core area of research in this field; however, a paradigm shift in this research is the application of convexity in optimization theory.
Xue Wang +4 more
wiley +1 more source
Some Novel Estimates of Hermite–Hadamard and Jensen Type Inequalities for (h1,h2)-Convex Functions Pertaining to Total Order Relation [PDF]
, 2022 There are different types of order relations that are associated with interval analysis for determining integral inequalities. The purpose of this paper is to connect the inequalities terms to total order relations, often called (CR)-order.
Afzal, Waqar +4 more
core +2 more sources
Some New Inequalities for p‐Convex Functions via a K‐Fractional Conformable Integral
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 The intention of this paper is to develop some new Hermite–Jensen–Mercer type inequalities for p−convex functions via k−fractional conformable integrals. Several existing results are also discussed which can be deduced from our results.
Yan Dou +4 more
wiley +1 more source
A Study on the Modified Form of Riemann-Type Fractional Inequalities via Convex Functions and Related Applications [PDF]
, 2022 In this article, we provide constraints for the sum by employing a generalized modified form of fractional integrals of Riemann-type via convex functions.
De la Sen Parte, Manuel +6 more
core +1 more source
New Fractional Mercer–Ostrowski Type Inequalities with Respect to Monotone Function
Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022 This research focuses on Ostrowski type inequality in the form of classical Mercer inequality via ψ‐Riemann–Liouville fractional integral (F‐I) operators. Using the ψ‐Riemann–Liouville F‐I operator, we first develop and demonstrate a new generalized lemma for differentiable functions. Based on this lemma, we derive some fractional Mercer–Ostrowski type
Saad Ihsan Butt +5 more
wiley +1 more source
Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022 In the present study, fractional variants of Hermite–Hadamard, Hermite–Hadamard–Fejér, and Pachpatte inequalities are studied by employing Mercer concept. Firstly, new Hermite–Hadamard–Mercer‐type inequalities are presented for harmonically convex functions involving fractional integral operators with exponential kernel.
Saad Ihsan Butt +5 more
wiley +1 more source
Jensen-type inequalities for m-convex functions [PDF]
, 2022 Inequalities play an important role in pure and applied mathematics. In particular, Jensen's inequality, one of the most famous inequalities, plays a main role in the study of the existence and uniqueness of initial and boundary value problems for ...
Bosch, Paul +3 more
core +2 more sources