Sharp Ul'yanov type inequalities in Lebesgue spaces
Seminar
Speaker
Prof. Yu. Kolomoitsev, Inst. Applied Math. Mech., Donetsk, Ukraine
Date
03/03/2014 - 14:00Add to Calendar
2014-03-03 14:00:00
2014-03-03 14:00:00
Sharp Ul'yanov type inequalities in Lebesgue spaces
We present sharp Ul’yanov type inequalities for fractional moduli of smoothness and K-functionals for the values of the parameters: 0<p<1, p<q. We also provide a generalization of Kolyada's inequality and relations between fractional moduli of smoothness of a function and its derivatives in the spaces L_p, 0<p<1.
אוניברסיטת בר-אילן - המחלקה למתמטיקה
mathoffice@math.biu.ac.il
Asia/Jerusalem
public
Abstract
We present sharp Ul’yanov type inequalities for fractional moduli of smoothness and K-functionals for the values of the parameters: 0<p<1, p<q. We also provide a generalization of Kolyada's inequality and relations between fractional moduli of smoothness of a function and its derivatives in the spaces L_p, 0<p<1.
תאריך עדכון אחרון : 24/02/2014
