Results 61 to 70 of about 1,943 (219)

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

Graphical and Analytic Study of New Inequalities Involving Strongly n‐Polynomial Exponential‐Type s‐Convex Functions

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper explores a new class of convexity, namely, strongly n‐polynomial exponential‐type s‐convexity. We developed some basic results related to this convexity including few algebraic properties. Three examples have been provided for the verification of newly introduced convexity.
Khuram Ali Khan, Ramy M. Hafez, Kashif Ali, Ndolane Sene, Çetin Yildiz   +4 more
wiley   +1 more source

A Note on the New Ostrowski and Hadamard Type Inequalities via the Hölder–İşcan Inequality

Axioms, 2023
For all convex functions, the Hermite–Hadamard inequality is already well known in convex analysis. In this regard, Hermite–Hadamard and Ostrowski type inequalities were obtained using exponential type convex functions in this work.
Çetin Yildiz, Juan E. Nápoles Valdés, Luminiţa-Ioana Cotîrlă   +2 more
doaj   +1 more source

Sharp Integral Inequalities of the Hermite–Hadamard Type

Journal of Approximation Theory, 2002
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Allal Guessab, Gerhard Schmeisser
openaire   +2 more sources

New Inequalities and an Integral Expression for the 𝒜‐Berezin Number

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This work examines a reproducing kernel Hilbert space XF,·,· constructed on a nonempty set F. Our investigation focuses on the A‐Berezin number and the A‐Berezin norm, where A denotes a positive bounded linear operator acting on XF. For an A‐bounded linear operator B, the A‐Berezin seminorm is defined by BberA=supλ,ν∈FBu∧λ,u∧νA, where u∧λ and u∧ν are ...
Salma Aljawi, Ahad Alotaibi, Cristian Conde, Kais Feki, Ding-Xuan Zhou   +4 more
wiley   +1 more source

New estimates for Hermite–Hadamard–Fejer-type inequalities containing Raina fractional integrals

Boundary Value Problems
The Hermite–Hadamard–Fejér-type inequality is an effective utensil for examining upper and lower estimations of the integrals of convex functions. In this study, the power mean inequality and Hölder inequality are employed.
Maria Tariq, Ammara Nosheen, Khuram Ali Khan, Khadijah M. Abualnaja   +3 more
doaj   +1 more source

Fractional Integral Inequalities for Generalized Interval‐Valued Functions With Applications in Stock Price Prediction via LSTM

Journal of Mathematics, Volume 2026, Issue 1, 2026.
We explore the features of fractional integral inequalities for some new classes of interval‐valued convex functions (CF s) to establish their generalization compared to the previously known real‐valued CF s. Motivated by the foundational role of mathematical inequalities in analysis and optimization, we delve into the formulation and proof of integral
Ahsan Fareed Shah, Patricia J. Y. Wong, Nasir Rehman, Salah Mahmoud Boulaaras, Muhammad Shoaib Saleem, B. B Upadhyay   +5 more
wiley   +1 more source

On Hammerstein Integral Equations and Engineering Models via Paired Contractions in Partial Metric Spaces

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper presents a novel class of paired contractions to establish fixed point results for multivalued mappings within the framework of partial metric spaces. Requirements for the existence of fixed points are investigated, and a few nontrivial instances are given to illustrate the usefulness and relevance of the proposed notions.
Rhoda Chiroma, Mohammed Shehu Shagari, Monairah Alansari, Trad Alotaibi, Afis Saliu, Smritijit Sen   +5 more
wiley   +1 more source

Generalized Error Bounds for Mercer-Type Inequalities in Fractional Integrals with Applications

Universal Journal of Mathematics and Applications
Fractional integral inequalities have emerged as powerful and versatile tools in advancing both pure and applied mathematics in recent years. Numerous researchers have recently introduced various generalized inequalities involving fractional integral ...
Arslan Munir, Hüseyin Budak, Artion Kashuri   +2 more
doaj   +1 more source

On the Refined Hermite-Hadamard Inequalities

Mathematical Sciences and Applications E-Notes, 2018
In this paper, we give some new refinements of Hermite-Hadamard inequality for co-ordinated convex function. These refinements provide us better estimation as compare to the earlier established refinements of Hadamard’s inequality.
ALİ, Tahir, KHAN, Muhammad Adil, KİLİCMAN, Adem, DİN, Qamar   +3 more
openaire   +3 more sources