Inequalities
Inequalities appear in various fields of natural science and engineering. Classical inequalities are still being improved and/or generalized by many researchers. That is, inequalities have been actively studied by mathematicians. In this book, we selected the papers that were published as the Specia...
Wedi'i Gadw mewn:
| Prif Awdur: | |
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| Fformat: | Online |
| Iaith: | Saesneg |
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MDPI - Multidisciplinary Digital Publishing Institute
2021
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| Pynciau: | |
| Mynediad Ar-lein: | 43632 |
| Tagiau: |
Dim Tagiau, Byddwch y cyntaf i dagio'r cofnod hwn!
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| _version_ | 1869528101227069440 |
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| author | Furuichi, Shigeru |
| author_browse | Furuichi, Shigeru |
| author_facet | Furuichi, Shigeru |
| author_sort | Furuichi, Shigeru |
| collection | Directory of Open Access Books |
| description | Inequalities appear in various fields of natural science and engineering. Classical inequalities are still being improved and/or generalized by many researchers. That is, inequalities have been actively studied by mathematicians. In this book, we selected the papers that were published as the Special Issue ‘’Inequalities’’ in the journal Mathematics (MDPI publisher). They were ordered by similar topics for readers’ convenience and to give new and interesting results in mathematical inequalities, such as the improvements in famous inequalities, the results of Frame theory, the coefficient inequalities of functions, and the kind of convex functions used for Hermite–Hadamard inequalities. The editor believes that the contents of this book will be useful to study the latest results for researchers of this field. |
| format | Online |
| id | doab-20.500.12854ir-50175 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2021 |
| publishDateRange | 2021 |
| publishDateSort | 2021 |
| publisher | MDPI - Multidisciplinary Digital Publishing Institute |
| publisherStr | MDPI - Multidisciplinary Digital Publishing Institute |
| record_format | ojs |
| spelling | doab-20.500.12854ir-501752023-12-20T18:40:39Z Inequalities Furuichi, Shigeru QA1-939 Q1-390 quantum estimates Montgomery identity power inequalities positive linear map Hilbert C*-module Hermite–Hadamard type inequality Steffensen’s inequality Hilbert space Hadamard fractional integrals K-dual adjointable operator analytic functions special means geometrically convex function h2)-convex proportional fractional derivative commutator quasi-convex Katugampola fractional integrals Euler-Maclaurin summation formula starlike functions strongly ?-convex functions g-frame interval-valued functions twice differentiable convex functions Taylor theorem exponential inequalities g-Bessel sequence Riemann–Liouville and Caputo proportional fractional initial value problem frame Fejér’s inequality weight function Hermite-Hadamard type inequalities Gronwall–Bellman inequality ?-variation Hölder’s inequality majorization inequality alternate dual frame half-discrete Hardy-Hilbert’s inequality parameter Power mean inequality Riemann–Liouville fractional integrals reverse inequality weaving frame operator Fink’s identity pseudo-inverse operator inequality Hermite-Hadamard inequality one-sided weighted Morrey space Green functions weaving K-frame operator Kantorovich inequality higher order convexity weaving frame (h1 one-sided weighted Campanato space Fekete-Szegö inequality convex functions refined inequality trigonometric inequalities one-sided singular integral bic Book Industry Communication::P Mathematics & science Inequalities appear in various fields of natural science and engineering. Classical inequalities are still being improved and/or generalized by many researchers. That is, inequalities have been actively studied by mathematicians. In this book, we selected the papers that were published as the Special Issue ‘’Inequalities’’ in the journal Mathematics (MDPI publisher). They were ordered by similar topics for readers’ convenience and to give new and interesting results in mathematical inequalities, such as the improvements in famous inequalities, the results of Frame theory, the coefficient inequalities of functions, and the kind of convex functions used for Hermite–Hadamard inequalities. The editor believes that the contents of this book will be useful to study the latest results for researchers of this field. 2021-02-11T16:09:41Z 2021-02-11T16:09:41Z 2020-01-30 16:39:46 2020 book 43632 9783039280629 9783039280636 https://directory.doabooks.org/handle/20.500.12854/50175 eng application/octet-stream Attribution-NonCommercial-NoDerivatives 4.0 International https://www.mdpi.com/books/pdfview/book/1955 https://www.mdpi.com/books/pdfview/book/1955 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-03928-063-6 10.3390/books978-3-03928-063-6 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783039280629 9783039280636 204 open access |
| spellingShingle | QA1-939 Q1-390 quantum estimates Montgomery identity power inequalities positive linear map Hilbert C*-module Hermite–Hadamard type inequality Steffensen’s inequality Hilbert space Hadamard fractional integrals K-dual adjointable operator analytic functions special means geometrically convex function h2)-convex proportional fractional derivative commutator quasi-convex Katugampola fractional integrals Euler-Maclaurin summation formula starlike functions strongly ?-convex functions g-frame interval-valued functions twice differentiable convex functions Taylor theorem exponential inequalities g-Bessel sequence Riemann–Liouville and Caputo proportional fractional initial value problem frame Fejér’s inequality weight function Hermite-Hadamard type inequalities Gronwall–Bellman inequality ?-variation Hölder’s inequality majorization inequality alternate dual frame half-discrete Hardy-Hilbert’s inequality parameter Power mean inequality Riemann–Liouville fractional integrals reverse inequality weaving frame operator Fink’s identity pseudo-inverse operator inequality Hermite-Hadamard inequality one-sided weighted Morrey space Green functions weaving K-frame operator Kantorovich inequality higher order convexity weaving frame (h1 one-sided weighted Campanato space Fekete-Szegö inequality convex functions refined inequality trigonometric inequalities one-sided singular integral bic Book Industry Communication::P Mathematics & science Furuichi, Shigeru Inequalities |
| title | Inequalities |
| title_full | Inequalities |
| title_fullStr | Inequalities |
| title_full_unstemmed | Inequalities |
| title_short | Inequalities |
| title_sort | inequalities |
| topic | QA1-939 Q1-390 quantum estimates Montgomery identity power inequalities positive linear map Hilbert C*-module Hermite–Hadamard type inequality Steffensen’s inequality Hilbert space Hadamard fractional integrals K-dual adjointable operator analytic functions special means geometrically convex function h2)-convex proportional fractional derivative commutator quasi-convex Katugampola fractional integrals Euler-Maclaurin summation formula starlike functions strongly ?-convex functions g-frame interval-valued functions twice differentiable convex functions Taylor theorem exponential inequalities g-Bessel sequence Riemann–Liouville and Caputo proportional fractional initial value problem frame Fejér’s inequality weight function Hermite-Hadamard type inequalities Gronwall–Bellman inequality ?-variation Hölder’s inequality majorization inequality alternate dual frame half-discrete Hardy-Hilbert’s inequality parameter Power mean inequality Riemann–Liouville fractional integrals reverse inequality weaving frame operator Fink’s identity pseudo-inverse operator inequality Hermite-Hadamard inequality one-sided weighted Morrey space Green functions weaving K-frame operator Kantorovich inequality higher order convexity weaving frame (h1 one-sided weighted Campanato space Fekete-Szegö inequality convex functions refined inequality trigonometric inequalities one-sided singular integral bic Book Industry Communication::P Mathematics & science |
| topic_facet | QA1-939 Q1-390 quantum estimates Montgomery identity power inequalities positive linear map Hilbert C*-module Hermite–Hadamard type inequality Steffensen’s inequality Hilbert space Hadamard fractional integrals K-dual adjointable operator analytic functions special means geometrically convex function h2)-convex proportional fractional derivative commutator quasi-convex Katugampola fractional integrals Euler-Maclaurin summation formula starlike functions strongly ?-convex functions g-frame interval-valued functions twice differentiable convex functions Taylor theorem exponential inequalities g-Bessel sequence Riemann–Liouville and Caputo proportional fractional initial value problem frame Fejér’s inequality weight function Hermite-Hadamard type inequalities Gronwall–Bellman inequality ?-variation Hölder’s inequality majorization inequality alternate dual frame half-discrete Hardy-Hilbert’s inequality parameter Power mean inequality Riemann–Liouville fractional integrals reverse inequality weaving frame operator Fink’s identity pseudo-inverse operator inequality Hermite-Hadamard inequality one-sided weighted Morrey space Green functions weaving K-frame operator Kantorovich inequality higher order convexity weaving frame (h1 one-sided weighted Campanato space Fekete-Szegö inequality convex functions refined inequality trigonometric inequalities one-sided singular integral bic Book Industry Communication::P Mathematics & science |
| url | 43632 |
| work_keys_str_mv | AT furuichishigeru inequalities |