INTEGRAL GRUSS INEQUALITY FOR MAPPINGS WITH VALUES IN HILBERT SPACES AND APPLICATIONS

  • Dragomir, S.S. (School of communications and Informatics Victoria University of Technology Melbourne City MC)
  • Published : 2001.11.01

Abstract

In this paper we prove a version of Gruss integral inequality for mappings with values in Hilbert spaces. Some applications for convex functions defined on Hibert space are also given.

Keywords

References

  1. The Australian Math Soc. Gazette v.26 no.2 Gruss inequality in inner product spaces S. S. Dragomir
  2. J. Math. Anal. Appl. v.237 A generalization of gruss inequality in inner product spaces and applications S. S. Dragomir
  3. J. Math. Anal. Appl. v.250 no.2 A gruss type discret inequality in inner product spaces and applications S. S. Dragomir
  4. J. Ineq. in Pure & Appl. Math. v.1 no.2 A Gruss type inequality for sequences of vectors in inner product spaces and applications S. S. Dragomir
  5. Tamkang J. of Math. v.31 no.1 A gruss type integral inequality for mappings of r-Holder's thpe and applications for trapezoid formula S. S. Dragomir
  6. Honam Math. J. v.21 no.1 Some discrete inequalities of Gruss type and applications in guessing theory S. S. Dragomir
  7. Indian J. of Pure and Appl. Math. v.31 no.4 Some integral inequalities of Gruss type S. S. Dragomir
  8. Math. Communications v.5 On a Gruss-Lupas type inequality and its appications for the estimation of p-moments of guessing mappings S. S. Dragomir;G. L. Booth
  9. Tamkang J. of Math. v.29 no.4 An inequality of Gruss' type for Riemann-Stieltjes integral and appications for special means S. S. Dragomir;I. Fedotov
  10. Math. Compt. Modelling v.24 no.2 A counterpart of Jensen's discrete inequality for differentiable convex mappings and applications in information theory S. S. Dragomir;C. J. Goh
  11. On some inequalities for the moments of guessing mappings, submitted S. S. Dragomir;J. E. Pecaric
  12. Math. Z. v.39 Uber das Maximum des absoluten betrages von F(x)g(x)dx- F(x)dx G(x)dx G. Gruss
  13. A treatise on Gruss' inequality, Analytic and Geometric Inequalities and Applications A. M. Fink;T. M. Rassias(ed.);H. M. Srivastava(ed.)
  14. Classical and New Inequalities in Analysis D. S. Mitrinovic;J. E. Pecaric;A. M. Fink