Search for Articles:
Title / Keyword
Author / Affiliation / Email
Journal
Article Type
 
 
Advanced Search
 
Section
Special Issue
Volume
Issue
Number
Page
 
1.9
Journals
Axioms
Special Issues
Theory and Application of Integral Inequalities, 2nd Edition
share announcement

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 873

Special Issue Editor

Dr. Loredana Ciurdariu

E-Mail Website
Guest Editor
Department of Mathematics, Politehnica University of Timisoara, 300006 Timisoara, Romania
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

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Axioms is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

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

Benefits of Publishing in a Special Issue

  • Ease of navigation: Grouping papers by topic helps scholars navigate broad scope journals more efficiently.
  • Greater discoverability: Special Issues support the reach and impact of scientific research. Articles in Special Issues are more discoverable and cited more frequently.
  • Expansion of research network: Special Issues facilitate connections among authors, fostering scientific collaborations.
  • External promotion: Articles in Special Issues are often promoted through the journal's social media, increasing their visibility.
  • Reprint: MDPI Books provides the opportunity to republish successful Special Issues in book format, both online and in print.

Further information on MDPI's Special Issue policies can be found here.

Published Papers (3 papers)

Download All Papers
Order results
Result details
Show export options expand_more Show export options expand_less
Select all
Export citation of selected articles as:

Research

28 pages, 397 KiB  
Article
Hybrid Integral Inequalities on Fractal Set
by Badreddine Meftah, Wedad Saleh, Muhammad Uzair Awan, Loredana Ciurdariu and Abdelghani Lakhdari
Axioms 2025, 14(5), 358; https://doi.org/10.3390/axioms14050358 - 9 May 2025
Viewed by 222
Abstract
In this study, we introduce a new hybrid identity that effectively combines Newton–Cotes and Gauss quadrature, allowing us to recover well-known formulas such as Simpson’s second rule and the left- and right-Radau two-point rules, among others. Building upon this flexible framework, we establish [...] Read more.
In this study, we introduce a new hybrid identity that effectively combines Newton–Cotes and Gauss quadrature, allowing us to recover well-known formulas such as Simpson’s second rule and the left- and right-Radau two-point rules, among others. Building upon this flexible framework, we establish several new biparametrized fractal integral inequalities for functions whose local fractional derivatives are of a generalized convex type. In addition to employing tools from local fractional calculus, our approach utilizes the Hölder inequality, the power mean inequality, and a refined version of the latter. Further results are also derived using the concept of generalized concavity. To support our theoretical findings, we provide a graphical example that illustrates the validity of the obtained results, along with some practical applications that demonstrate their effectiveness. Full article
(This article belongs to the Special Issue Theory and Application of Integral Inequalities, 2nd Edition)
►▼ Show Figures

Figure 1

13 pages, 257 KiB  
Article
Investigating the Hyers–Ulam Stability of the Generalized Drygas Functional Equation: New Results and Methods
by Gang Lyu, Yang Liu, Yuanfeng Jin and Yingxiu Jiang
Axioms 2025, 14(4), 315; https://doi.org/10.3390/axioms14040315 - 21 Apr 2025
Viewed by 219
Abstract
In this paper, we explore the Hyers–Ulam stability of a generalized Drygas functional equation, which extends the classical Drygas equation by incorporating additional parameters and conditions. Our investigation focuses on mappings from a real vector space into a Banach space and employs the [...] Read more.
In this paper, we explore the Hyers–Ulam stability of a generalized Drygas functional equation, which extends the classical Drygas equation by incorporating additional parameters and conditions. Our investigation focuses on mappings from a real vector space into a Banach space and employs the fixed-point method to establish stability criteria. Our findings provide new insights into the conditions under which the generalized Drygas equation maintains stability, contributing to the broader understanding of functional equations in mathematical analysis. The results have implications for the study of functional equations and their applications in various mathematical contexts. Full article
(This article belongs to the Special Issue Theory and Application of Integral Inequalities, 2nd Edition)
12 pages, 236 KiB  
Article
Spatial Decay Estimates for the Moore–Gibson–Thompson Heat Equation Based on an Integral Differential Inequality
by Naiqiao Qing, Jincheng Shi and Yunfeng Wen
Axioms 2025, 14(4), 265; https://doi.org/10.3390/axioms14040265 - 1 Apr 2025
Viewed by 195
Abstract
The present work investigates the spatial evolution characteristics of solutions to the Moore–Gibson–Thompson heat equation within a three-dimensional cylindrical geometry. By constructing an integral-differential inequality framework, we establish rigorous estimates demonstrating the exponential spatial decay of the solution as the axial distance from [...] Read more.
The present work investigates the spatial evolution characteristics of solutions to the Moore–Gibson–Thompson heat equation within a three-dimensional cylindrical geometry. By constructing an integral-differential inequality framework, we establish rigorous estimates demonstrating the exponential spatial decay of the solution as the axial distance from the inlet boundary increases without bound. This finding aligns with a generalized interpretation of the Saint-Venant principle, demonstrating its applicability under the present asymptotic conditions. The integral-differential inequality method proposed in this paper can also be used for the study of the Saint-Venant principle for other equations. Full article
(This article belongs to the Special Issue Theory and Application of Integral Inequalities, 2nd Edition)
Show export options expand_more Show export options expand_less
Select all
Export citation of selected articles as:
 
Displaying articles 1-3
Back to TopTop