Inequality Theory and Applications, Volume 3

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Yeol Je Cho, Jong Kyu Kim, Sever S. Dragomir
Nova Science Publishers, Jan 1, 2003 - Mathematics - 209 pages
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This book examines new topics in the areas of fixed point theory, variational inequality and complementarity problem theory, non-linear ergodic theory, difference, differential and integral equations, control and optimisation theory, dynamic system theory, inequality theory, stochastic analysis and probability theory, and their applications. Contents: Perturbed Version of a General Trapezoid Inequality; Perturbed Three-Point Rules; Three-Point Inequalities from Riemann-Stieltjes Integrals; Geometric Means, Index Mappings and Entropy; On Some Recent Results Related to Jessen's Inequality for Convex Functions; Estimates for an Integral in Lp Norm of the (n+1)-th Derivative of its Integrand; Some Refinements of the Triangle and Cauchy-Schwartz Inequalities in Inner Product Spaces; On the Algebraic Character of Blundon's Inequalities; The Jensen's Equation in Banach Modules over a C-Algebra; Improved Weighted Ostrowski-Gruss Type Inequalities; Sequences Supplied by Inequalities and Applications; Inequalities on Polynomial Divisors; Chebyshev-Anderson's Inequality; Convexity of the Gamma Function with Respect to Holder Means; Generalised Perturbed Inequalities of Ostrowski Type and Appl

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Contents

Perturbed ThreePoint Rules
13
ThreePoint Inequalities from RiemannStieltjes Integrals
57
Geometric Means Index Mappings and Entropy
85
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