The q-gamma function for q > 1.
The q-gamma function for x<0.
The Young inequality and the Δ₂-condition
If φ: [0,∞) → [0,∞) is a convex function with φ(0) = 0 and conjugate function φ*, the inequality is shown to hold true for every ε ∈ (0,∞) if and only if φ* satisfies the Δ₂-condition.
Trace-inequalities and matrix-convex functions.
Two mappings associated with Jensen's inequality.
Über die Existenz von Minima konvexer Funktionen.
Über komplementäre Ungleichungen mit drei Mittelwerten. Teil 1.
Über komplementäre Ungleichungen mit drei Mittelwerten. Teil 2.
Über Lehmers Mittelwertfamilie.
Une inégalité intégrale concernant certaines fonctions Log-concaves
Verallgemeinerte konvexe Funktionen.
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.
Еще об асимптотике функций Грина параболических уравнений с постоянными коэффициентами
Некоторые классы псевдовыпуклых функционалов
Эквивалентные определения квазивыпуклости