MATHEMATICAL INEQUALITIES & APPLICATIONS
Scope & Guideline
Bridging Theory and Practice in Mathematical Inequalities
Introduction
Aims and Scopes
- Inequalities in Functional Spaces:
The journal frequently publishes research related to inequalities in functional spaces, particularly in Banach and Hilbert spaces, exploring the properties and applications of various inequalities within these frameworks. - Operator Theory and Inequalities:
A significant portion of the research revolves around operator theory, specifically examining inequalities related to boundedness, compactness, and spectral properties of linear operators. - Applications of Inequalities:
The journal emphasizes the practical applications of mathematical inequalities in areas such as probability, statistics, and various branches of analysis, demonstrating their relevance in real-world scenarios. - Geometric Inequalities:
There is a consistent focus on geometric inequalities, including those related to convex bodies and measures, highlighting the interplay between geometry and functional analysis. - Inequalities in Probability and Statistics:
The journal also explores inequalities that arise in probability theory and statistics, particularly those that involve expectations, variances, and other statistical measures. - Multidimensional and Complex Variables:
Research involving inequalities in multidimensional and complex variable contexts is prevalent, showcasing the depth of the journal's commitment to exploring inequalities across diverse mathematical landscapes.
Trending and Emerging
- Inequalities in Nonlinear Analysis:
There is a growing trend in exploring inequalities within the context of nonlinear analysis, reflecting an increasing interest in complex systems and their mathematical properties. - Fractional and Variable Exponent Inequalities:
Research focusing on fractional calculus and variable exponent spaces is on the rise, indicating a burgeoning interest in these advanced mathematical frameworks and their applications. - Inequalities in Quantum and Statistical Mechanics:
Emerging themes include inequalities relevant to quantum mechanics and statistical physics, illustrating a trend toward interdisciplinary research that connects mathematics with physics. - Computational Inequalities:
The journal is seeing an increase in papers that address computational methods for establishing or applying inequalities, reflecting the integration of numerical analysis with theoretical mathematics. - Inequalities in Machine Learning and Data Science:
There is a noticeable uptick in research that applies mathematical inequalities to machine learning and data science, highlighting the relevance of traditional mathematical concepts in modern computational fields.
Declining or Waning
- Classical Inequalities:
There has been a decline in the number of papers focusing on classical inequalities, such as the Cauchy-Schwarz and Jensen inequalities, as the field increasingly seeks novel and complex inequalities. - Elementary Inequalities:
Research on elementary or straightforward inequalities appears to be less prevalent, as the journal's authors tend to concentrate on more sophisticated and nuanced inequality frameworks. - Inequalities in Discrete Mathematics:
The focus on inequalities specifically within discrete mathematics has waned, possibly due to the rising interest in continuous and functional approaches in recent publications. - Inequalities without Applications:
There has been a reduction in papers that present inequalities purely for theoretical interest without clear applications, as the journal increasingly values contributions that demonstrate practical relevance.
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