


Paper Title:
Some Ostrowski Type Inequalities for Two CosIntegral Transforms of Absolutely Continuous Functions
Author(s):
S. S. Dragomir and G. Sorrentino
Mathematics, College Sport, Health and
Engineering,
Victoria University, PO Box 14428,
Melbourne City, MC 8001,
Australia.
DSTNRF Centre of Excellence in the
Mathematical and Statistical Sciences,
School of Computer Science & Applied Mathematics,
University of the Witwatersrand,
Private Bag 3, Johannesburg 2050,
South Africa.
Email: sever.dragomir@vu.edu.au
URL: http://rgmia.org/dragomir
Mathematics, First Year College,
Victoria University, PO Box 14428,
Melbourne City, MC 8001,
Australia.
Abstract:
For a Lebesgue integrable function f:[a,b] ⊂[0,π]→C
we consider the cosintegral transforms
and
We provide in this paper some upper bounds for the quantities
and
for
x ∈ [ a,b], in terms of the pnorms of the derivative
f ' for absolutely continuous functions f:[a,b] ⊂[0,π]→C.
Applications for approximating Steklov cosaverage functions and Steklov
split cosaverage functions are also provided.
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