Weighted Ostrowski-Gr\"uss type inequalities
Ana Maria Acu, Heiner Gonska
TL;DR
This paper generalizes various Ostrowski-Grüss type inequalities by incorporating weights and provides upper error bounds using the least concave majorant of the modulus of continuity.
Contribution
It introduces weighted versions of Ostrowski-Grüss inequalities and derives new upper bounds involving the least concave majorant of the modulus of continuity.
Findings
Weighted Ostrowski-Grüss inequalities are established.
New upper error bounds are derived.
Results extend existing inequalities to weighted cases.
Abstract
Several inequalities of Ostrowski-Gruss-type availabe in the literature are generalized by considering the weighted case of them. Involving the least concave majorant of the modulus of continuity we provide upper error bounds of such inequalities.
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Taxonomy
TopicsMathematical Inequalities and Applications · Mathematics and Applications · Analytic and geometric function theory