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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.
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Keywords
- (h1
- (h1, h2)-convex
- ?-variation
- adjointable operator
- alternate dual frame
- Analytic functions
- commutator
- Convex functions
- Euler-Maclaurin summation formula
- exponential inequalities
- Fejér’s inequality
- Fekete-Szegö inequality
- Fink’s identity
- frame
- g-Bessel sequence
- g-frame
- geometrically convex function
- Green functions
- Gronwall–Bellman inequality
- h2)-convex
- Hadamard fractional integrals
- half-discrete Hardy-Hilbert’s inequality
- Hermite-Hadamard inequality
- Hermite-Hadamard type inequalities
- Hermite–Hadamard type inequality
- higher order convexity
- Hilbert C*-module
- Hilbert space
- Hölder’s inequality
- interval-valued functions
- K-dual
- Katugampola fractional integrals
- majorization inequality
- Montgomery identity
- one-sided singular integral
- one-sided weighted Campanato space
- one-sided weighted Morrey space
- operator inequality
- operator Kantorovich inequality
- parameter
- positive linear map
- power inequalities
- Power mean inequality
- proportional fractional derivative
- pseudo-inverse
- quantum estimates
- quasi-convex
- refined inequality
- reverse inequality
- Riemann–Liouville and Caputo proportional fractional initial value problem
- Riemann–Liouville fractional integrals
- special means
- starlike functions
- Steffensen’s inequality
- strongly ?-convex functions
- Taylor theorem
- trigonometric inequalities
- twice differentiable convex functions
- weaving frame
- weaving frame operator
- weaving K-frame
- weight function
Links
DOI: 10.3390/books978-3-03928-063-6Editions
