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math.CA2015
Generalized Alomari functionals
Ana Maria Acu, Heiner Gonska
We consider a generalized form of certain integral inequalities given by Guessab, Schmeisser and Alomari. The trapezoidal, mid point, Simpson, Newton-Simpson rules are obtained as…
math.CA2015
Weighted Ostrowski-Grüss type inequalities
Ana Maria Acu, Heiner Gonska
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 modul…
math.CA2015★ 2 cited
On Bullen's and related inequalities
Ana Maria Acu, Heiner Gonska
The estimate in Bullen's inequality will be extended for continuous functions using the second order modulus of smoothness. A different form of this inequality will be given in ter…