A Grüss type inequality for isotonic linear functionals and applications

• Autorzy: Dragomir S. S.
• Języki publikacji: EN

Abstrakty

EN

An inequality for a normalised isotonic linear functional of Grüss type and particular cases for integrals and norms are established. Applications in obtaining a counterpart for the Cauchy-Buniakowski-Schwartz inequality for functionals and Jessen's inequality for convex functions are also given.

Słowa kluczowe

EN

Gruss inequality; isotonic linear functionals; Cauchy-Buniakowski-Schwartz inequality; Jessen's inequality

PL

nierówności

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2003
• Tom: Vol. 36, nr 3
• Strony: 551--562
• Opis fizyczny: Bibliogr. 4 poz.

Twórcy

autor

Dragomir S. S.

• School of Computer Science and Mathematics, Victoria University of Technology, PO BOX 14428, MCMC 8001, Victoria, Australia

Bibliografia

• [1] D. Andrica, C. Badea, Grüss' inequality for positive linear Junctionals, Periodica Math. Hungarica 19(2) (1988), 155-167.
• [2] P. Cerone, S. S. Dragomir, A refinement of the Grüss inequality and applications, (Preprint) RGMIA Res. Rep. Coll. 5 (2) (2002), Article 14 [on line: http://rgmia.vu.edu.au/v5n2.html].
• [3] X.-L. Cheng, J. Sun, A note on the perturbed trapezoid inequality, J. Ineq. Pure &cAppl. Math. 3 (2002), No. 2, Article 29. [on line: http://jipam.vu.edu.au].
• [4] S. S. Dragomir, On a reverse of Jessen's inequality for isotonic linear functionals, J. Ineq. Pure & Appl. Math. 2 (2001), No. 3, Article 36. [on line: http://jipam.vu.edu.au].