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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…
Composite Bernstein Cubature
Ana-Maria Acu, Heiner Gonska
We consider a sequence of composite bivariate Bernstein operators and the cubature formula associated with them. The upper bounds for the remainder term of the cubature formula are…
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…
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…