Theory and Application of Integral Inequalities, 2nd Edition
A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Mathematical Analysis".
Deadline for manuscript submissions: 31 August 2025 | Viewed by 491
Special Issue Editor
Interests: convex functions; mathematical inequalities; dynamical systems; operator theory
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
Integral inequalities have become increasingly important in the fields of pure mathematics and applied mathematics, garnering more interest from researchers now than in the previous decades. Integral inequalities are closely related to the concept of convexity. The aim of this Special Issue is to expand on the inequalities derived within the framework of q-calculus, fractional calculus, and their generalizations and to identify new types of integral inequalities for various types of convexities. This will contribute to a better understanding and unification of these recently developed theories. The theory of variational inequalities is closely related to convex analysis. The optimality conditions for differentiable convex functions are characterized by variational inequalities. Integral inequalities, particularly Jensen’s inequality, play a crucial role in optimization and information theory, statistics, cryptography,y and many other areas of research. The applications of integral inequalities in operator theory and matrix inequalities are also of significant interest in various areas of pure mathematics. The Guest Editors aim to provide a platform to present the latest advances in various aspects of the theory of integral inequalities and recently developed applications.
Dr. Loredana Ciurdariu
Guest Editor
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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
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