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Special Issue "Advances in Mathematical Inequalities and Applications"
A special issue of Mathematics (ISSN 2227-7390).
Deadline for manuscript submissions: closed (31 May 2022) | Viewed by 10907
Special Issue Editor
Interests: inequalities; real analysis; mathematical analysis
Special Issue Information
Why do we study inequalities? The answer to this question was given by Bellman in a very concrete and elegant fashion: "There are three reasons for the study of inequalities: practical, theoretical and aesthetic. In many practical investigations, it is necessary to bound one quantity by another. The classical inequalities are very useful for this purpose. From the theoretical point of view, very simple questions give rise to entire theories. For example, we may ask when the nonnegativity of one quantity implies that to another. This simple question leads to the theory of positive operators and theory of differential inequalities. Another question which gives rise to much interesting research is that of finding equalities associated with inequalities. We use the principle that every inequality should come from an equality which makes the inequality obvious. Along these lines, we may also look for representation which make inequalities obvious. Often, these representations are maxima or minima of certain quantities. Finally, let us turn to aesthetic aspects. As has been pointed out, beauty is in the eyes of the beholder. However, it is generally agreed that certain pieces of music, art or mathematics are beautiful. There is an elegance to inequalities that makes them very attractive."
In this Special Issue, we present new results related to some classical inequalities such as the Jensen inequality, Jensen–Steffensen inequality, Jessen inequality, Grüss inequality, Chebyshev inequality, etc. They have various applications in other branches of mathematics, such as numerical analysis, probability and statistics, as well as in other sciences such as information theory.
Prof. Dr. Milica Klaricic Bakula
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.
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Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2100 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.
- convex functions
- generalized convexity
- Jensen inequality
- Jensen–Steffensen inequality
- Jessen inequality
- Hermite–Hadamard inequalities
- Grüss inequality
- Chebyshev inequality
- Zipf–Mandelbrot law
- quadrature formulae