Showing papers in "Le Matematiche in 2014"

New classes of integral inequalities of fractional order

Abstract: In this paper, the Riemann-Liouville fractional operator is used to generate new classes of integral inequalities using a family of n positive functions, (n ∈ N∗). For our results, some interesting classical inequalities can be deduced as some special cases.

Hermite-Hadamard type integral inequalities when the power of the absolute value of the first derivative of the integrand is preinvex

Abstract: In the paper, the authors establish some new Hermite-Hadamard type integral inequalities when the power of the absolute value of the first derivative of the integrand is preinvex.

Periodic solutions for a second order nonlinear neutral functional differential equation with variable delay

Abstract: In this paper we study the existence of periodic solutions of the second order nonlinear neutral differential equation with functional delay We invert the given equation to obtain an integral, but equivalent, equation from which we define a fixed point mapping written as a sum of a large contraction and a compact map We show that, under suitable conditions, such maps fit very nicely into the framework of Krasnoselskii-Burton's fixed point theorem so that the existence of periodic solutions is concluded

Hermite-Hadamard type inequalities for GA-s-convex functions

Abstract: In this paper, The author introduces the concepts of the GA-s-convex functions in the first sense and second sense and establishes some integral inequalities of Hermite-Hadamard type related to the GA-s-convex functions. Some applications to special means of real numbers are also given.

Computing GA_{5} index of armchair polyhex nanotube

Abstract: The fifth geometric-arithmetic index of a graph $G$ is defined to be GA_5(G). This index was introduced by A. Graovac et al. in 2011. In this paper, we give explicit formulas for the fifth geometric-arithmetic index of a family of Hexagonal Nanotubes namely: Armchair Polyhex Nanotubes.

Bornological Locally Convex Cones

Abstract: In this paper we define bornological and b-bornological cones and investigate their properties. We give some characterizations for these cones. In the special case of locally convex topological vector spaces these both concepts reduce to the known concept of bornological spaces. We introduce and investigate the convex quasiuniform structures Ut , Us(P;P ) and Ub(P;P ) on locally convex cone (P;U).

Integral transforms of k-generalized Mittag-Leffler function E_{k,α,β}^{γ,τ}(z)

Abstract: In this paper we study the Euler Transform, Laplace Transform, Whittaker Transform and Fractional Fourier Transform of order α, 0 < α ≤ 1, u ∈ φ (R) on certain special functions of generalized k-Mittag-Leffler function E_{k,α,β}^{γ,τ} (z).

A study of I-functions of two variables

Abstract: In our present investigation we propose to study and develop the I-function of two variables analogous to the I-function of one variable introduced and studied by one of the authors [25]. The conditions for convergence, series representation, behaviour for small values, elementary properties, transformation formulas and some special cases for the I-function of two variables are also discussed.

New fractional inequalities of Ostrowski-Grüss type

Abstract: In this paper, we improve and further generalize some Ostrowski-Gruss type inequalities for the fractional integrals by using new Montogomery identities

Mild solutions for nonlocal fractional semilinear functional differential inclusions involving Caputo derivative

Abstract: In this paper, we prove various existence results of a mild solution for a fractional nonlocal functional semilinear differential inclusion involving Caputo derivative in Banach spaces. We consider the case when the values of the orient field are convex as well as nonconvex. Moreover, we study the topological structure of solution sets. Our results extend or generalize results proved in recent papers.

Some result for Hadamard-type inequalities in quantum calculus

Abstract: In this paper, we establish a q-analogue of Hermite-Hadamard inequalities for some convex type functions.

Certain subclasses of analytic functions with varying arguments

Abstract: In this paper, we introduce new classes VM(β ) and VN(β ) of analytic functions with varying arguments in the open unit disc U = {z ∈ C : |z| <1}. Some properties such as coefficient estimates, extreme points, distortion theorems for functions f (z) belonging to the classes are obtained.

Simple graphs whose 2-distance graphs are path or cycle

Abstract: ‎We will classify all finite simple graphs whose 2-distance graph have large or small maximum valency‎, ‎specially when it is a path or a cycle‎.

Multiple solutions for a class of degenerate nonlocal problems involving sublinear nonlinearities

Abstract: In this article, we use the three critical points theorem by G. Bonanno [3] in order to investigate the multiplicity of solutions for some nonlocal degenerate problems.

A generalized variational principle in b-metric spaces

Abstract: In this paper we establish and prove a generalized variational principle for b-metric spaces. As a consequence, we obtain a weak Zhong-type variational principle in b-metric spaces. We show the applicability of the mentioned generalized variational principle by presenting a Caristi-type fixed point theorem and an extension of the main result for bifunctions - both of them stated in b-metric spaces.

Sobolev type spaces associated with the q-Rubin's operator

Abstract: In this paper we introduce and study some $q$-Sobolev type spaces by using the harmonic analysis associated with the q-Rubin operator. In particular, embedding theorems for these spaces are established. Next, we introduce the q-Rubin potential spaces and study some of its properties.

Rational cuspidal curves with four cusps on Hirzebruch surfaces

Abstract: The purpose of this article is to shed light on the question of how many and what kind of cusps a rational cuspidal curve on a Hirzebruch surface can have. Our main result is a list of rational cuspidal curves with four cusps, their type, cuspidal congurations and the surfaces they lie on. We use birational transformations to construct these curves. Moreover, we find a general expression for and compute the Euler characteristic of the logarithmic tangent sheaf in these cases. Additionally, we show that there exists a real rational cuspidal curve with four real cusps. Last, we show that for rational cuspidal curves with two or more cusps on a Hirzebruch surface, there is a lower bound on one of the multiplicities.

A look at proximinal and Chebyshev sets in Banach spaces

Abstract: The main aim of this survey is to present some classical as well asrecent characterizations involving the notion of proximinal and Chebyshev sets inBanach spaces. In particular, we discuss the convexity of Chebyshev sets.

Differential sandwich theorems for higher-order derivatives of p-valent functions involving a generalized differential operator

Abstract: In the present article, we obtain some applications of first order differential subordination, superordination and sandwich results for higher-order derivatives of p-valent functions involving a generalized differential operator. Some of our results improve and generalize previously known results.

Relative approximate controllability of fractional stochastic delay evolution equations with nonlocal conditions

Abstract: In this paper, we study the relative approximate controllability of nonlinear fractional stochastic evolution equations with time delays and nonlocal conditions, in Hilbert space, via new fixed point analysis approach. An example is provided to show the application of our result.

On a differential subordination and superordination of a new class of meromorphic functions

Abstract: In this paper, we investigate differential subordination and superordination properties of a new class of meromorphic analytic functions in the punctured unit disc.We derive some sandwich theorems.

Vector Bundles of Low rank on a Multiprojective Space

Abstract: In this paper we construct vector bundles over a multiprojective space and study their properties. We first set out to establish the existence of monads on a multiprojective space X. Then, we study the vector bundles associated to these monads.

Common fixed point theorems of compatible mapping of type (P) in intuitionistic fuzzy metric spaces

Abstract: The aim of this paper is to point out results of M. Koireng and Yumnam Rahen [8] on compatible mappings of type (P) in fuzzy metric spaces into intuitionistic fuzzy metric spaces with same terminology and notations.

A remark on λ-interwining hyponormal operators

Abstract: We extend a result concerning λ-commuting normal operators with empty point spectrum. More precisely, we prove that for a hyponormal operator T with empty point spectrum for which there exists a Hilbert-Schmidt operator K such that TK = λKT + μK for some |λ| < 1 and μ ∈ C, implies K = 0.

On convolution properties for certain classes of p-valent meromorphic functions defined by linear operator

Abstract: In this paper, by making use of convolution, we obtain some interesting results for certain family of meromorphic p-valent functions defined by new linear operator.

Some properties of two-fold symmetric analytic functions

Abstract: In this paper, we introduce a new class of two-fold symmetric functions analytic in the unit disc. We prove such results as subordination and superordination properties, convolution properties, distortion theorems, and inequality properties of this new class.

Unification of almost strongly μ_θ -continuous functions

Abstract: We introduce a new type of functions called almost strongly μ_θ -continuous functions which unifies some weak forms of almost strongly θ -continuous functions and investigate their properties.

Sufficiency criteria for a class of p-valent analytic functions of complex order

Abstract: In this paper we obtain extensions of sufficient conditions for analytic functions f(z) in the open unit disk \mathcal{U} to be starlike and convex of complex order. Our results unify and extend some starlikeness and convexity conditions for analytic functions discussed by Mocanu [1988], Uyanik et al. [2011], Goyal et al. [2012] and others.

Mapping properties a general integral operator defined by the Hadamard product

Abstract: In the present paper, we introduce a general integral operator defined by Hadamard product and study mapping properties on some subclasses of analytic univalent functions Relevant connections of the results presented here with various known results are briefly indicated

Subordination properties for a certain class of analytic functions with complex order

Abstract: In this paper, we derive several subordination results for a certain class of analytic functions defined by the generalized Al-Oboudi differential operator Relevant connections of some of the results obtained with those in earlier works are also provided