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An Extension of Young's Inequality [PDF]

Abstract and Applied Analysis, 2011
Young's inequality is extended to the context of absolutely continuous measures. Several applications are included.
Flavia-Corina Mitroi, Constantin P. Niculescu   +1 more
doaj   +5 more sources

Additive Refinements and Reverses of Young's Operator Inequality Via a Result of Cartwright and Field [PDF]

Universal Journal of Mathematics and Applications, 2021
In this paper we obtain some new additive refinements and reverses of Young's operator inequality via a result of Cartwright and Field. Comparison with other additive Young's type inequalities are also provided.
Sever Dragomır
doaj   +2 more sources

Advancements in integral inequalities of Ostrowski type via modified Atangana-Baleanu fractional integral operator [PDF]

Heliyon
Convexity and fractional integral operators are closely related due to their fascinating properties in the mathematical sciences. In this article, we first establish an identity for the modified Atangana-Baleanu (MAB) fractional integral operators. Using
Gauhar Rahman, Muhammad Samraiz, Kamal Shah, Thabet Abdeljawad, Yasser Elmasry   +4 more
doaj   +2 more sources

On the generalization of Hermite-Hadamard type inequalities for E`-convex function via fractional integrals [PDF]

Heliyon
The main motivation in this article is to prove new integral identities and related results. In this paper, we deal with E`-convex function, Hermite-Hadamard type inequalities, and Katugampola fractional integrals.
Muhammad Sadaqat Talha, Tasawar Abbas, Zhixiong Li, Amor Rebey, Affaq Ahmed, Sanaa Anjum   +5 more
doaj   +2 more sources

Young and Inverse Young Inequalities on Euclidean Jordan Algebra

Axioms
This paper mainly focuses on in-depth research on inequalities on symmetric cones. We will further analyze and discuss the inequalities we developed on the second-order cone and develop more inequalities.
Chien-Hao Huang
doaj   +2 more sources

A Note about Young’s Inequality with Different Measures

International Journal of Mathematics and Mathematical Sciences, 2022
The key purpose of this paper is to work on the boundedness of generalized Bessel–Riesz operators defined with doubling measures in Lebesgue spaces with different measures.
Saba Mehmood, Eridani Eridani, Fatmawati Fatmawati   +2 more
doaj   +1 more source

Certain Properties of the Modified Degenerate Gamma Function

Journal of Mathematics, 2021
In this paper, we prove some inequalities satisfied by the modified degenerate gamma function which was recently introduced. The tools employed include Holder’s inequality, mean value theorem, Hermite–Hadamard’s inequality, and Young’s inequality.
Kwara Nantomah
doaj   +1 more source

Trajectory Tracking Control for Reaction–Diffusion System with Time Delay Using P-Type Iterative Learning Method

Actuators, 2021
This paper has dealt with a tracking control problem for a class of unstable reaction–diffusion system with time delay. Iterative learning algorithms are introduced to make the infinite-dimensional repetitive motion system track the desired trajectory. A
Yaqiang Liu, Jianzhong Li, Zengwang Jin
doaj   +1 more source

On three-dimensional Hall-magnetohydrodynamic equations with partial dissipation

Boundary Value Problems, 2022
In this paper, we address the Hall-MHD equations with partial dissipation. Applying some important inequalities (such as the logarithmic Sobolev inequality using BMO space, bilinear estimates in BMO space, Young’s inequality, cancellation property ...
Baoying Du
doaj   +1 more source

On a converse of Young’s inequality [PDF]

Proceedings of the American Mathematical Society, 1972
A converse of Young’s inequality is proved through the formulation of a functional inequality.
openaire   +1 more source