Results 41 to 50 of about 250 (112)
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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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 Mathematics, 2020 In this paper, certain Hermite–Hadamard–Mercer-type inequalities are proved via Riemann–-Liouville fractional integral operators. We established several new variants of Hermite–Hadamard’s inequalities for Riemann–Liouville fractional integral operators ...
Qiong Kang +5 more
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Demonstratio Mathematica, 2023 The Hermite-Hadamard inequality is regarded as one of the most favorable inequalities from the research point of view. Currently, mathematicians are working on extending, improving, and generalizing this inequality.
Saeed Tareq +4 more
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New Ostrowski-Type Fractional Integral Inequalities via Generalized Exponential-Type Convex Functions and Applications [PDF]
, 2021 Recently, fractional calculus has been the center of attraction for researchers in mathematical sciences because of its basic definitions, properties and applications in tackling real-life problems.
Ahmad, Hijaz +5 more
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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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Complexity, Volume 2021, Issue 1, 2021., 2021 In this paper, authors prove new variants of Hermite–Jensen–Mercer type inequalities using ψ–Riemann–Liouville fractional integrals with respect to another function via convexity. We establish generalized identities involving ψ–Riemann–Liouville fractional integral pertaining first and twice differentiable convex function λ, and these will be used to ...
Saad Ihsan Butt +5 more
wiley +1 more source
A note on some Ostrowski type inequalities via Generalized Exponentially Convexity [PDF]
, 2021 In this paper, we define and investigate generalized exponential type convex functions namely exponentially $s$--convex function. In the support of this newly introduced idea, we attain the algebraic properties of this function, and furthermore, in the ...
Jamshed Nasir, Jamshed Nasir +3 more
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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.
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AIMS Mathematics, 2022 In this paper we find further versions of generalized Hadamard type fractional integral inequality for k-fractional integrals. For this purpose we utilize the definition of h-convex function. The presented results hold simultaneously for variant types of
Fangfang Ma
doaj +1 more source