output
20082026
most citedAround Jensen's inequality for strongly convex functions

30 citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

collaborating institutions
Showing math.CAShow all

5 papers · 1 filter

math.CA2017

Muirhead inequality for convex orders and a problem of I. Raşa on Bernstein polynomials

Andrzej Komisarski, Teresa Rajba

We present a new, very short proof of a conjecture by I. Raşa, which is an inequality involving basic Bernstein polynomials and convex functions. It was affirmed positively very re…

math.CA2016

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…

math.CA2015★ 4 cited

Bernstein--Doetsch type theorems with Tabor type error terms for set-valued maps

Attila Gilányi, Carlos Gonzales, Kazimierz Nikodem +1

In this paper, we investigate set-valued maps of strongly and approximately Jensen convex and Jensen concave type. We present counterparts of the Bernstein--Doetsch Theorem with Ta…

math.CA2014

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…

math.CA2012★ 1 cited

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…