SOME GRÜSS TYPE INEQUALITIES FOR THE RIEMANN-STIELTJES INTEGRAL WITH LIPSCHITZIAN INTEGRATORS

Abstract

In this paper several new inequalities of Gr¨uss’ type for the Riemann–Stieltjes integral with Lipschitzian integrators are proved

Keywords

• Gr¨uss inequality,Function of bounded variation,H¨older continuousfunctions

References

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15. E-mail address: [e-mail] 2Mathematics, School of Engineering & Science, Victoria University, PO Box 14428,
16. Melbourne City, MC 8001, Australia. 3School of Computational & Applied Mathematics, University of the Witwater- srand, Johannesburg, South Africa.
17. E-mail address: [e-mail]