## Inequality Theory and Applications, Volume 3Yeol Je Cho, Jong Kyu Kim, Sever S. Dragomir 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 |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

Perturbed ThreePoint Rules | 13 |

ThreePoint Inequalities from RiemannStieltjes Integrals | 57 |

Geometric Means Index Mappings and Entropy | 85 |

Copyright | |

3 other sections not shown

### Other editions - View all

Inequality Theory and Applications, Volume 5 Yeol Je Cho,Jong Kyu Kim,Sever S. Dragomir Limited preview - 2007 |

Inequality Theory and Applications, Volume 4 Yeol Je Cho,Jong Kyu Kim,Sever Silvestru Dragomir Limited preview - 2007 |

### Common terms and phrases

2000 Mathematics Subject 2003 Nova Science absolutely continuous Assume Banach Banach Spaces bounded variation C*-algebra Cerone and S. S. Chebyshev's inequality completes the proof convex function defined derivative differentiable mapping divergence Email equation equivalent following inequality holds following result function f gamma function given gives Griiss inequality Gyeongsang National University Hence Hermite-Hadamard Inequalities identity 2.5 Inequality Theory integral inequality interval Inv(A isotonic linear functionals J. E. Pecaric J. K. Kim Jessen's inequality Kim and S. S. l,oo Lemma Let f Let the conditions linear and normalised Math Mathematics Subject Classification monotonic nondecreasing National University normalised functional Nova Science Publishers obtained perturbed polynomial Professor Proposition quadrature rule real number Remark Riemann-Stieltjes integral roots S. S. Dragomir Simpson type rule taking theorem is proved Theory and Applications trapezoidal rule twice differentiable function Txn-p Volume 3 ISBN Y. J. Cho