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Theory and Application of Integral Inequalities

This special issue belongs to the section “Mathematical Analysis“.

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

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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

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Axioms - ISSN 2075-1680