By George A. Anastassiou
This monograph provides univariate and multivariate classical analyses of complicated inequalities. This treatise is a fruits of the author's final 13 years of analysis paintings. The chapters are self-contained and several other complicated classes could be taught out of this booklet. vast heritage and motivations are given in every one bankruptcy with a complete record of references given on the finish. the themes coated are wide-ranging and various. contemporary advances on Ostrowski style inequalities, Opial kind inequalities, Poincare and Sobolev variety inequalities, and Hardy-Opial sort inequalities are tested. Works on usual and distributional Taylor formulae with estimates for his or her remainders and functions in addition to Chebyshev-Gruss, Gruss and comparability of capability inequalities are studied. the consequences awarded are often optimum, that's the inequalities are sharp and attained. purposes in lots of parts of natural and utilized arithmetic, equivalent to mathematical research, likelihood, usual and partial differential equations, numerical research, details thought, etc., are explored intimately, as such this monograph is acceptable for researchers and graduate scholars. it is going to be an invaluable educating fabric at seminars in addition to a useful reference resource in all technology libraries.