Reprint

Symmetry in the Mathematical Inequalities

Edited by
May 2022
276 pages
  • ISBN978-3-0365-4005-4 (Hardback)
  • ISBN978-3-0365-4006-1 (PDF)

This book is a reprint of the Special Issue Symmetry in the Mathematical Inequalities that was published in

Biology & Life Sciences
Chemistry & Materials Science
Computer Science & Mathematics
Physical Sciences
Summary

This Special Issue brings together original research papers, in all areas of mathematics, that are concerned with inequalities or the role of inequalities. The research results presented in this Special Issue are related to improvements in classical inequalities, highlighting their applications and promoting an exchange of ideas between mathematicians from many parts of the world dedicated to the theory of inequalities.

This volume will be of interest to mathematicians specializing in inequality theory and beyond. Many of the studies presented here can be very useful in demonstrating new results.

It is our great pleasure to publish this book. All contents were peer-reviewed by multiple referees and published as papers in our Special Issue in the journal Symmetry. These studies give new and interesting results in mathematical inequalities enabling readers to obtain the latest developments in the fields of mathematical inequalities.

Finally, we would like to thank all the authors who have published their valuable work in this Special Issue. We would also like to thank the editors of the journal Symmetry for their help in making this volume, especially Mrs. Teresa Yu.

Format
  • Hardback
License
© 2022 by the authors; CC BY-NC-ND license
Keywords
Ostrowski inequality; Hölder’s inequality; power mean integral inequality; n-polynomial exponentially s-convex function; weight coefficient; Euler–Maclaurin summation formula; Abel’s partial summation formula; half-discrete Hilbert-type inequality; upper limit function; Hermite–Hadamard inequality; (p, q)-calculus; convex functions; trapezoid-type inequality; fractional integrals; functions of bounded variations; Hermite–Hadamard inequality; (p,q)-integral; post quantum calculus; convex function; a priori bounds; 2D primitive equations; continuous dependence; heat source; Jensen functional; A-G-H inequalities; global bounds; power means; convex functions; Simpson-type inequalities; convex function; fractional integrals; thermoelastic plate; Phragmén-Lindelöf alternative; Saint-Venant principle; biharmonic equation; symmetric function; Schur-convexity; inequality; special means; Shannon entropy; Tsallis entropy; Fermi–Dirac entropy; Bose–Einstein entropy; arithmetic mean; geometric mean; Young’s inequality; Simpson’s inequalities; post-quantum calculus; convex functions; spatial decay estimates; Brinkman equations; Saint-Venant principle; midpoint and trapezoidal inequality; Simpson’s inequality; harmonically convex functions; Hermite–Hadamard inequality; Ostrowski inequality; Simpson inequality; (n,m)–generalized convexity; n/a