Results 51 to 60 of about 179 (161)
Advancements in Harmonic Convexity and Its Role in Modern Mathematical Analysis
Journal of Mathematics, Volume 2025, Issue 1, 2025.Convex functions play an integral part in artificial intelligence by providing mathematical guarantees that make optimization more efficient and reliable. In this manuscript, we originate and analyze a novel category of convexity, namely, harmonically trigonometric p‐convex functions, and explore their properties.
Sabila Ali +4 more
wiley +1 more source
, 2018 In this paper we are interested to present some general fractional integral inequalities for m-convex functions by involving generalized Mittag-Leffler function. In particular we produce inequalities for several kinds of fractional integrals.
Ghulam Abbas +3 more
core +1 more source
Open MathematicsWe establish novel Hermite-Hadamard-type inequalities for the product of two strongly hh-convex functions defined on balls and ellipsoids in multidimensional Euclidean spaces.
Song Jinwen, Li Bufan, Ruan Jianmiao
doaj +1 more source
Journal of Function Spaces, Volume 2024, Issue 1, 2024.In this note, we define p‐adic mixed Lebesgue space and mixed λ‐central Morrey‐type spaces and characterize p‐adic mixed λ‐central bounded mean oscillation space via the boundedness of commutators of p‐adic Hardy‐type operators on p‐adic mixed Lebesgue space.
Naqash Sarfraz +4 more
wiley +1 more source
Some new estimates for Fej´er type inequalities in quantum analysis
, 2017 In this paper we derive some new quantum estimates of Fej´er type inequalities which involve Riemann type of quantum integrals via some classes of convex functions.
RIAHI, Latifa +2 more
core +1 more source
Extensions for a refinement of the Hermite -Hadamard inequality
Annals of the West University of Timisoara: Mathematics and Computer ScienceWe extend a refinement of the Hermite-Hadamard inequality to other convex functions, thus some integral of these convex functions can be estimated by series. We also generalize part of this refinement by introducing one more parameter, then the Stolarsky
Miao JinYan, Dragomir Silvestru Sever
doaj +1 more source
A Refinement of Jensen’s and Minkowski’s Inequalities via Superquadratic Functions
International Journal of Mathematics and Mathematical Sciences, Volume 2024, Issue 1, 2024.We provide in this note a different refinement of Jensen’s inequality obtained via superquadratic functions. A refinement of Minkowski’s and Hölder’s inequalities is also established as an application of our refined Jensen’s inequality.
Anton Asare-Tuah +2 more
wiley +1 more source
Bullen–Simpson–Mercer type inequalities
Open MathematicsThe main objective of our paper is to establish a new set of Bullen–Simpson type inequalities concerning the Jensen–Mercer's inequality. At first, we derive a new general Bullen–Simpson–Mercer's identity, with which we get out primary consequences ...
Vukelić Ana
doaj +1 more source
Generalizations of Steffensen’s inequality via the extension of Montgomery identity
Open Mathematics, 2018 In this paper, we obtained new generalizations of Steffensen’s inequality for n-convex functions by using extension of Montgomery identity via Taylor’s formula. Since 1-convex functions are nondecreasing functions, new inequalities generalize Stefensen’s
Aljinović Andrea Aglić +2 more
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Increasing property and logarithmic convexity of functions involving Dirichlet lambda function
Demonstratio Mathematica, 2023 In this article, with the help of an integral representation of the Dirichlet lambda function, by means of a monotonicity rule for the ratio of two integrals with a parameter, and by virtue of complete monotonicity and another property of an elementary ...
Qi Feng, Lim Dongkyu
doaj +1 more source