Results 31 to 40 of about 252 (113)
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
Exponential convexity for Jensen’s inequality for norms [PDF]
, 2016 In this paper, we investigate n-exponential convexity and log-convexity using the positive functional defined as the difference of the left-hand side and right-hand side of the inequality from (Pečarić and Janić in Facta Univ., Ser. Math. Inform. 3:39-42,
Josip Pečarić +2 more
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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
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Inequalities of the Type Hermite–Hadamard–Jensen–Mercer for Strong Convexity
Mathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021 By using the Jensen–Mercer inequality for strongly convex functions, we present Hermite–Hadamard–Mercer inequality for strongly convex functions. Furthermore, we also present some new Hermite‐Hadamard‐Mercer‐type inequalities for differentiable functions whose derivatives in absolute value are convex.
Muhammad Adil Khan +4 more
wiley +1 more source
The Hermite–Hadamard–Jensen–Mercer Type Inequalities for Riemann–Liouville Fractional Integral
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 In this paper, we give Hermite–Hadamard type inequalities of the Jensen–Mercer type for Riemann–Liouville fractional integrals. We prove integral identities, and with the help of these identities and some other eminent inequalities, such as Jensen, Hölder, and power mean inequalities, we obtain bounds for the difference of the newly obtained ...
Hua Wang +5 more
wiley +1 more source
Journal of Inequalities and Applications, 2023 In this investigation, we unfold the Jensen–Mercer ( J − M $\mathtt{J-M}$ ) inequality for convex stochastic processes via a new fractional integral operator.
Fahd Jarad +5 more
doaj +1 more source
Hermite–Hadamard–Mercer-Type Inequalities for Harmonically Convex Mappings
Mathematics, 2021 In this paper, we prove Hermite–Hadamard–Mercer inequalities, which is a new version of the Hermite–Hadamard inequalities for harmonically convex functions.
Xuexiao You +4 more
doaj +1 more source
Symmetry in the Mathematical Inequalities [PDF]
, 2022 This Special Issue brings together original research papers, in all areas of mathematics, that are concerned with inequalities or the role of inequalities.
core +1 more source
Recent Advances in Fractional Calculus [PDF]
This Special Issue of the scientific journal Axioms, entitled “Recent Advances in Fractional Calculus”, is dedicated to one of the most dynamic areas of mathematical sciences today [...
Kórus Péter +1 more
core +4 more sources
Fractal and Fractional, 2021 The aim of this article is to obtain new Hermite–Hadamard–Mercer-type inequalities using Raina’s fractional integral operators. We present some distinct and novel fractional Hermite–Hadamard–Mercer-type inequalities for the functions whose absolute value
Erhan Set +3 more
doaj +1 more source