17 citations · 45 across the 14 of their papers we have counts for
5 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…
Extremal measures with prescribed moments
Teresa Rajba, Szymon Wasowicz
In the approximate integration some inequalities between the quadratures and the integrals approximated by them are called \emph{extremalities}. On the other hand, the set of all q…
Hermite-Hadamard type inequalities for Wright-convex functions of several variables
D. Śliwińska, Sz. Wasowicz
We present Hermite--Hadamard type inequalities for Wright-convex, strongly convex and strongly Wright-convex functions of several variables defined on simplices
On the classes of higher-order Jensen-convex functions and Wright-convex functions
Kazimierz Nikodem, Teresa Rajba, Szymon Wasowicz
The classes of n-Wright-convex functions and n-Jensen-convex functions are compared with each other. It is shown that for any odd natural number the first one is the proper sub…