TY - BOOK AU - Furuichi, Shigeru AB - 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. DO - 10.3390/books978-3-03928-063-6 ID - OAPEN ID: 43632 KW - quantum estimates KW - Montgomery identity KW - power inequalities KW - positive linear map KW - Hilbert C*-module KW - Hermite–Hadamard type inequality KW - Steffensen’s inequality KW - Hilbert space KW - Hadamard fractional integrals KW - K-dual KW - adjointable operator KW - analytic functions KW - special means KW - geometrically convex function KW - h2)-convex KW - proportional fractional derivative KW - commutator KW - quasi-convex KW - Katugampola fractional integrals KW - Euler-Maclaurin summation formula KW - starlike functions KW - strongly ?-convex functions KW - g-frame KW - interval-valued functions KW - twice differentiable convex functions KW - Taylor theorem KW - exponential inequalities KW - g-Bessel sequence KW - Riemann–Liouville and Caputo proportional fractional initial value problem KW - frame KW - Fejér’s inequality KW - weight function KW - Hermite-Hadamard type inequalities KW - Gronwall–Bellman inequality KW - ?-variation KW - Hölder’s inequality KW - majorization inequality KW - alternate dual frame KW - half-discrete Hardy-Hilbert’s inequality KW - parameter KW - Power mean inequality KW - Riemann–Liouville fractional integrals KW - reverse inequality KW - weaving frame operator KW - Fink’s identity KW - pseudo-inverse KW - operator inequality KW - Hermite-Hadamard inequality KW - one-sided weighted Morrey space KW - Green functions KW - weaving K-frame KW - operator Kantorovich inequality KW - higher order convexity KW - weaving frame KW - (h1 KW - one-sided weighted Campanato space KW - Fekete-Szegö inequality KW - convex functions KW - refined inequality KW - trigonometric inequalities KW - one-sided singular integral L1 - https://www.mdpi.com/books/pdfview/book/1955 LA - English LK - https://directory.doabooks.org/handle/20.500.12854/50175 PB - MDPI - Multidisciplinary Digital Publishing Institute PY - 2020 SN - 9783039280629 SN - 9783039280636 TI - Inequalitiesnull ER -