Le Matematiche (Dipartimento di Matematica e Informatica, Università degli Studi di Catania)
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Some inequalities of Hermite-Hadamard type for GA-Convex functions with applications to means
In the paper, the authors, by Hölder\u27s inequality, establish some Hermite-Hadamard type integral inequalities for GA-convex functions and apply these inequalities to construct several inequalities for special means
On the projective normality of Artin-Schreier curves
In this paper we study the projective normality of certain Artin-Schreier curves Y_f defined over a field F of characteristic p by the equations y^q+y=f(x), q being a power of p and f in F[x] being a polynomial in x of degree m, with (m,p)=1. Many Y_f curves are singular and so, to be precise, here we study the projective normality of appropriate projective models of their normalization
Coupled coincidence point theorems for mixed monotone nonlinear operator in partially ordered G-metric spaces
In this paper we present some coupled coincidence and coupled common fixed point theorems for mixed G-monotone mappings in partially ordered G-metric spaces
Positive solutions for a class of infinite semipositone problems involving the p-Laplacian operator
We discuss the existence of a positive solution to a given infinite semipositone problem
The Radio numbers of all graphs of order n and diameter n-2
A radio labeling of a simple connected graph G is a function c:V(G) \to Z_+ such that for every two distinct vertices u and v of Gdistance(u,v)+|c(u)-c(v)|\geq 1+ diameter(G).The radio number of a graph G is the smallest integer M for which there exists a labeling c with c(v)\leq M for all v\in V(G). The radio number of graphs of order n and diameter n-1, i.e., paths, was determined in [7]. Here we determine the radio numbers of all graphs of order n and diameter n-2
On the intermediate value theorem over a non-Archimedean field
The paper investigates general properties of the power series over a non- Archimedean ordered field, extending to the set of algebraic power series the intermediate value theorem and Rolle\u27s theorem and proving that an algebraic series attains its maximum and its minimum in every closed interval. The paper also investigates a few properties concerning the convergence of powerseries, Taylor\u27s expansion around a point and the order of a zero
Differential sandwich theorems of symmetric points associated with Dziok-Srivastava operator
In this paper we obtain some applications of theory of differential subordination, superordination and sandwich results for the classes of symmetric points associated with Dziok-Srivastava operator
Some inequalities involving ratios and products of the gamma function
In this paper, we establish some generalized inequalities for the gamma function using the properties of logarithmically convex/concave functions
Approximation properties of two dimensional Bernstein-Stancu-Chlodowsky operators
In this paper, as a generalization of Bernstein-Stancu type operators of two variable, we introduce a new positive linear operator called Bernstein-Stancu-Chlodowsky on a triangular domain, with mobile boundaries, which extends to [0, ∞) × [0, ∞) as n → ∞. We give some shape properties that are preserved and also obtain weighted approximation properties of these operators
On a q-Dunkl sonine transform
In this paper, we introduce and study the q-Dunkl Sonine transform and we establish a Plancherel formula for its dual. Furthermore we give many inversion formulas