Problemy Analiza-Issues of Analysis
Scope & Guideline
Fostering Innovative Research in Mathematical Disciplines
Introduction
Aims and Scopes
- Mathematical Analysis and Its Applications:
The journal emphasizes the development and application of mathematical analysis techniques, particularly in real and complex analysis, where theoretical insights are employed to solve practical problems. - Polynomial Theory and Special Functions:
A significant focus is placed on polynomial theory, including the study of Chebyshev and other orthogonal polynomials, which are crucial for approximation theory and numerical analysis. - Functional Analysis and Operator Theory:
Research related to functional spaces, operators, and their properties is prevalent, including topics like fixed point theorems, which have wide-reaching implications in various mathematical fields. - Integral Inequalities and Transform Theory:
The journal publishes works on integral inequalities, transforms (like Hankel and Fourier), and their applications, contributing to the understanding of function properties and their interrelations. - Fractal Analysis and Nonlinear Dynamics:
There is an emerging interest in fractal analysis and its applications in nonlinear dynamics, reflecting the journal's openness to contemporary mathematical challenges.
Trending and Emerging
- Advanced Fixed Point Theorems:
There is a notable increase in research on advanced fixed point theorems, particularly in the context of fuzzy metric spaces and nonlinear integral equations, emphasizing their relevance in modern mathematical analysis. - Fractional Calculus and Its Applications:
The rising trend of fractional calculus is evident, with many papers exploring its applications in various mathematical problems, indicating a growing interest in non-integer order derivatives and integrals. - Integration Theory on Fractal Sets:
Integration theory applied to fractal sets is gaining prominence, showcasing the journal's commitment to exploring intricate mathematical structures and their implications. - Nonlinear Analysis and Differential Equations:
Increasing attention is being paid to nonlinear analysis and differential equations, particularly in the context of boundary value problems and their applications in mathematical modeling. - Statistical Convergence and Its Generalizations:
The exploration of statistical convergence and its generalizations is becoming more frequent, highlighting a shift towards understanding convergence in broader contexts beyond traditional limits.
Declining or Waning
- Elementary Functions and Classical Analysis:
There appears to be a waning interest in elementary functions and classical analysis topics, as more complex and abstract themes gain traction in the current research climate. - Basic Statistical Methods:
The frequency of publications focusing on basic statistical methods is decreasing, as the field moves towards more sophisticated statistical techniques and their mathematical foundations. - Traditional Geometric Analysis:
Research concentrating on traditional geometric analysis has seen a reduction, possibly overshadowed by the increasing complexity and abstraction in newer analytical frameworks.
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