We introduce the class of (k,h) -convex functions defined on k -convex domains, and we prove some new inequalities of Hermite-Hadamard and Fejér type for such mappings. This generalizes results given… (More)

The properties of four elements (LPFE) and (UPFE), introduced by Isac and Persson, have been recently examined in Hilbert spaces, L-spaces and modular spaces. In this paper we prove a new theorem… (More)

We show that, under some additional assumptions, all projection operators onto latticially closed subsets of the Orlicz-Musielak space generated by Φ are isotonic if and only if Φ is convex with… (More)

We prove the following theorem: Let Y be a weakly K-analytic subspace of a real Banach space X , Ω a complete σ -finite measure space and Φ : Ω × R+ → R+ a φ-function with a parameter which is… (More)