17 citations · 45 across the 14 of their papers we have counts for
3 papers · 1 filter
Inequalities between remainders of quadratures
Andrzej Komisarski, Szymon Wąsowicz
It is well-known that in the class of convex functions the (nonnegative) remainder of the Midpoint Rule of the approximate integration is majorized by the remainder of the Trapezoi…
On the classes of higher-order Jensen-convex functions and Wright-convex functions, II
Jacek Mrowiec, Teresa Rajba, Szymon Wąsowicz
Recently Nikodem, Rajba and Wąsowicz compared the classes of n-Wright-convex functions and n-Jensen-convex functions by showing that the first one is a proper subclass of the latte…
A solution to the problem of Rasa connected with Bernstein polynomials
Jacek Mrowiec, Teresa Rajba, Szymon Wasowicz
During the Conference on Ulam's Type Stability (Rytro, Poland, 2014), Ioan Rasa recalled his 25-years-old problem concerning some inequality involving the Bernstein polynomials. We…