Symmetry in the Mathematical Inequalities

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...

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Langue:anglais
Publié: MDPI - Multidisciplinary Digital Publishing Institute 2022
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collection Directory of Open Access Books
description 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.
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id doab-20.500.12854ir-84528
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language eng
publishDate 2022
publishDateRange 2022
publishDateSort 2022
publisher MDPI - Multidisciplinary Digital Publishing Institute
publisherStr MDPI - Multidisciplinary Digital Publishing Institute
record_format ojs
spelling doab-20.500.12854ir-845282024-03-28T03:31:36Z Symmetry in the Mathematical Inequalities Minculete, Nicusor Furuichi, Shigeru 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 (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 Simpson-type inequalities 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 spatial decay estimates Brinkman equations midpoint and trapezoidal inequality Simpson’s inequality harmonically convex functions Simpson inequality (n,m)–generalized convexity n/a thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::R Earth Sciences, Geography, Environment, Planning::RG Geography 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. 2022-06-21T08:40:44Z 2022-06-21T08:40:44Z 2022 book ONIX_20220621_9783036540054_106 9783036540054 9783036540061 https://directory.doabooks.org/handle/20.500.12854/84528 eng application/octet-stream Attribution 4.0 International https://mdpi.com/books/pdfview/book/5511 https://mdpi.com/books/pdfview/book/5511 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-0365-4006-1 10.3390/books978-3-0365-4006-1 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783036540054 9783036540061 276 Basel open access
spellingShingle 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
(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
Simpson-type inequalities
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
spatial decay estimates
Brinkman equations
midpoint and trapezoidal inequality
Simpson’s inequality
harmonically convex functions
Simpson inequality
(n,m)–generalized convexity
n/a
thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general
thema EDItEUR::R Earth Sciences, Geography, Environment, Planning::RG Geography
Symmetry in the Mathematical Inequalities
title Symmetry in the Mathematical Inequalities
title_full Symmetry in the Mathematical Inequalities
title_fullStr Symmetry in the Mathematical Inequalities
title_full_unstemmed Symmetry in the Mathematical Inequalities
title_short Symmetry in the Mathematical Inequalities
title_sort symmetry in the mathematical inequalities
topic 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
(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
Simpson-type inequalities
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
spatial decay estimates
Brinkman equations
midpoint and trapezoidal inequality
Simpson’s inequality
harmonically convex functions
Simpson inequality
(n,m)–generalized convexity
n/a
thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general
thema EDItEUR::R Earth Sciences, Geography, Environment, Planning::RG Geography
topic_facet 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
(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
Simpson-type inequalities
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
spatial decay estimates
Brinkman equations
midpoint and trapezoidal inequality
Simpson’s inequality
harmonically convex functions
Simpson inequality
(n,m)–generalized convexity
n/a
thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general
thema EDItEUR::R Earth Sciences, Geography, Environment, Planning::RG Geography
url ONIX_20220621_9783036540054_106