Sätze des Khintchine Typus für Mengenfunktionen
Sign changes in linear combinations of derivatives and convolutions of Polya frequency functions.
Some classes of completely monotonic functions.
Some Completely Monotonic Properties for the (p, g)-Gamma Function
MSC 2010: 33B15, 26A51, 26A48
Some considerations on the monotonicity property of power means.
Some general means
The ratio between the tail of a series and its approximating integral.
Über approximative derivierte Zahlen monotoner Funktionen
Über einen Wert, der zwischen dem geometrischen und dem arithmetischen Mittel zweier Zahlen liegt.
Über Mittelwerte aus Potenzproduktsummen.
Weighted inequalities for monotone and concave functions
Characterizations of weight functions are given for which integral inequalities of monotone and concave functions are satisfied. The constants in these inequalities are sharp and in the case of concave functions, constitute weighted forms of Favard-Berwald inequalities on finite and infinite intervals. Related inequalities, some of Hardy type, are also given.
Weighted multidimensional inequalities for monotone functions
We discuss the characterization of the inequality (RN+ fq u)1/q C (RN+ fp v )1/p, 0<q, p <, for monotone functions and nonnegative weights and and . We prove a new multidimensional integral modular inequality for monotone functions. This inequality generalizes and unifies some recent results in one and several dimensions.
Weighted norm inequalities for averaging operators of monotone functions.
We prove weighted norm inequalities for the averaging operator Af(x) = 1/x ∫0x f of monotone functions.
Zwischenwerte und Fixpunkte für reelle Funktionen.