Theory and Application of Integral Inequalities

A special issue of Axioms (ISSN 2075-1680).

Deadline for manuscript submissions: 30 July 2024 | Viewed by 817

Special Issue Editors


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Guest Editor
Department of Mathematics, Politehnica University of Timisoara, 300006 Timisoara, Romania
Interests: convex functions; mathematical inequalities; dynamical systems; operator theory

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Guest Editor
Department of Management, Politehnica University of Timisoara, 300006 Timisoara, Romania
Interests: economics; dynamical systems; inequalities

Special Issue Information

Dear Colleagues,

Integral inequalities have gained an increasingly important role in many domains of research arising from pure mathematics and applied mathematics, captivating a higher interest of researchers now than in the previous decades. The integral inequalities are closely related with the concept of convexity.The aim of this Special Issue is to extend the inequalities obtained in the frame of q-calculus, fractional calculus and their further generalizations and to find the new types of integral inequalities for the different types of convexities for the better understanding and unification of these recently developed theories. The theory of variational inequalities is closely related to convex analysis. The optimality conditions of the differentiable convex functions are characterized by the variational inequalities.Integral inequalities and especially Jensen’s inequality have a special importance in optimization and information theory, statistics, cryptography and many other areas of research. Applications of integral inequalities in operator theory and matrix inequality would also be of interest in the various areas of pure mathematics.The guest editors would like to provide a platform to present the latest advances in the many aspects of the theory of integral inequalities along with their recently developed applications. 

Dr. Loredana Ciurdariu
Prof. Dr. Eugenia Grecu
Guest Editors

Manuscript Submission Information

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Keywords

  • generalized convexity
  • q-calculus
  • fractional calculus
  • variational inequalities
  • interval-valued inequalities
  • Jensen inequality
  • applications in information theory and statistics
  • inequalities related to functions
  • applications of inequalities in operator theory
  • matrix inequality
  • means

Published Papers (1 paper)

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Research

14 pages, 268 KiB  
Article
Weak Sharp Type Solutions for Some Variational Integral Inequalities
by Savin Treanţă and Tareq Saeed
Axioms 2024, 13(4), 225; https://doi.org/10.3390/axioms13040225 - 28 Mar 2024
Viewed by 552
Abstract
Weak sharp type solutions are analyzed for a variational integral inequality defined by a convex functional of the multiple integral type. A connection with the sufficiency property associated with the minimum principle is formulated, as well. Also, an illustrative numerical application is provided. [...] Read more.
Weak sharp type solutions are analyzed for a variational integral inequality defined by a convex functional of the multiple integral type. A connection with the sufficiency property associated with the minimum principle is formulated, as well. Also, an illustrative numerical application is provided. Full article
(This article belongs to the Special Issue Theory and Application of Integral Inequalities)
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