Taylor-Widder representation formulae and Ostrowski, Grüss, integral means and Csiszar type inequalities

Computers and Mathematics with Applications

Volumn 54, Issue 1, 2007, Pages 9-23

  Anastassiou, George A ^a  

^a University of Memphis   (United States)

Author keywords

Comparison of means; Csiszar f divergence; Ostrowski and Gr ss inequalities; Representation formulae; Taylor Widder formula

Indexed keywords

COMPUTER SCIENCE; INTEGRAL EQUATIONS;

CSISZAR TYPE INEQUALITIES; REPRESENTATION FORMULAE; TAYLOR WIDDER FORMULA;

TAYLOR SERIES;

EID: 34347250856     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2006.09.010     Document Type: Article

References (7)

1. Anastassiou G.A. Difference of general integral means. Journal of Inequalities in Pure and Applied Mathematics 7 5 (2006) 13pp. (electronic), Article 185
2. Csiszar I. Information-type measures of difference of probability distributions and indirect observations. Studia Scientiarum Mathematicarum Hungarica 2 (1967) 299-318
3. Fink A.M. Bounds on the deviation of a function from its averages. Czechoslovak Mathematical Journal 42 117 (1992) 289-310
4. b g (x) d x)]. Mathematische Zeitschrift 39 (1935) 215-226
5. Karlin S., and Studden W.J. Tchebycheff Systems: With Applications in Analysis and Statistics (1966), Interscience, New York
6. Ostrowski A. Über die Absolutabweichung einer differentiebaren Funktion von ihrem Integralmittelwert. Commentarii Mathematici Helvetici 10 (1938) 226-227
7. Widder D.V. A generalization of Taylor's series. Transactions of the American Mathematical Society 30 1 (1928) 126-154