Some improvements and generalizations of Steffensen's integral inequality

Applied Mathematics and Computation

Volumn 192, Issue 2, 2007, Pages 422-428

  Wu, Shan He ^a   Srivastava, H M ^b  

^a LONGYAN UNIVERSITY   (China)

^b UNIVERSITY OF VICTORIA   (Canada)

Author keywords

Generalizations, sharpening, and refinements of integral inequalities; Integral inequality; Mercer's inequality; Steffensen's inequality

Indexed keywords

COMPUTATIONAL METHODS; ERROR ANALYSIS; NUMERICAL METHODS;

INTEGRAL INEQUALITY; MERCER'S INEQUALITY; STEFFENSEN'S INEQUALITY;

INTEGRAL EQUATIONS;

EID: 34548862032     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2007.03.020     Document Type: Article

References (12)

1. Steffensen J.F. On certain inequalities and methods of approximation. J. Inst. Actuaries 51 (1919) 274-297
2. Mitrinović D.S., Pečarić J.E., and Fink A.M. Classical and New Inequalities in Analysis. Mathematics and Its Applications (Eastern European Series) vol. 61 (1993), Kluwer Academic Publishers, Dordrecht, Boston and London pp. 311-331
3. Beckenbach E.F., and Bellman R. Inequalities (1983), Springer-Verlag, Berlin, New York and Heidelberg pp. 48-50
4. Mitrinović D.S., and Vasić P.M. Analytic Inequalities (1970), Springer-Verlag, Berlin, New York and Heidelberg pp. 107-118
5. Gauchman H. On a further generalization of Steffensen's inequality. J. Inequal. Appl. 5 (2000) 505-513
6. Abramovich S., Bakula M.K., Matić M., and Pečarić J.E. A variant of Jensen-Steffensen's inequality and quasi-arithmetic means. J. Math. Anal. Appl. 307 (2005) 370-386
7. Qi F., and Guo B.-N. On Steffensen pairs. J. Math. Anal. Appl. 271 (2002) 534-541
8. Mitrinović D.S., and Pečarić J.E. On the Bellman generalization of Steffensen's inequality. III. J. Math. Anal. Appl. 135 (1988) 342-345
9. Pečarić J.E. On the Bellman generalization of Steffensen's inequality. II. J. Math. Anal. Appl. 104 (1984) 432-434
10. Pečarić J.E. On the Bellman generalization of Steffensen's inequality. J. Math. Anal. Appl. 88 (1982) 505-507
11. Bergh J. A generalization of Steffensen's inequality. J. Math. Anal. Appl. 41 (1973) 187-191
12. Mercer P.R. Extensions of Steffensen's inequality. J. Math. Anal. Appl. 246 (2000) 325-329