Add to ORKGThis note presents a complete solution of the support problem for functions that are generalized monotone in the sense of Beckenbach. The key tool of the proof is Tornheim's uniform convergence theorem. As applications, we improve some known support results and give an abstract version of the Hermite--Hadamard inequality
Generalised convexity is revisited from a geometrical point of view. A substitute to the subdifferen...
The aim of this work is to present several new results concerning duality in scalar convex optimizat...
AbstractWe show that beta operators satisfy the property of monotonic convergence under convexity. T...
AbstractThe classical Hermite–Hadamard inequality gives a lower and an upper estimations for the int...
AbstractChebyshev systems induce in a natural way a concept of convexity. The functions convex in th...
The thesis comprises of generalized inequalities for monotone functions from which we deduce importa...
A function is convex if its epigraph is convex. This geometrical structure has very strong implicati...
This paper presents the theory that guarantees the convexication of a strictly monotone function. We...
In this paper, we study convex analysis and its theoretical applications. We apply important tools o...
This work establishes new connections between maximal monotone operators and convex functions. Assoc...
AbstractWe study monotonicity and convexity properties of functions arising in the theory of ellipti...
xiii, 166 leaves ; 30 cm.PolyU Library Call No.: [THS] LG51 .H577P AMA 2002 YangIn this thesis, some...
AbstractIn this paper, we investigate properties of generalized convexities based on algebraic opera...
This paper constructs some monotone functions and monotone sequences by means of inequalities in [1...
Some generalizations of an inequality of Hardy-Littlewood-Pólya are presented. We discuss the n-expo...
Generalised convexity is revisited from a geometrical point of view. A substitute to the subdifferen...
The aim of this work is to present several new results concerning duality in scalar convex optimizat...
AbstractWe show that beta operators satisfy the property of monotonic convergence under convexity. T...
AbstractThe classical Hermite–Hadamard inequality gives a lower and an upper estimations for the int...
AbstractChebyshev systems induce in a natural way a concept of convexity. The functions convex in th...
The thesis comprises of generalized inequalities for monotone functions from which we deduce importa...
A function is convex if its epigraph is convex. This geometrical structure has very strong implicati...
This paper presents the theory that guarantees the convexication of a strictly monotone function. We...
In this paper, we study convex analysis and its theoretical applications. We apply important tools o...
This work establishes new connections between maximal monotone operators and convex functions. Assoc...
AbstractWe study monotonicity and convexity properties of functions arising in the theory of ellipti...
xiii, 166 leaves ; 30 cm.PolyU Library Call No.: [THS] LG51 .H577P AMA 2002 YangIn this thesis, some...
AbstractIn this paper, we investigate properties of generalized convexities based on algebraic opera...
This paper constructs some monotone functions and monotone sequences by means of inequalities in [1...
Some generalizations of an inequality of Hardy-Littlewood-Pólya are presented. We discuss the n-expo...
Generalised convexity is revisited from a geometrical point of view. A substitute to the subdifferen...
The aim of this work is to present several new results concerning duality in scalar convex optimizat...
AbstractWe show that beta operators satisfy the property of monotonic convergence under convexity. T...