Le Matematiche (Dipartimento di Matematica e Informatica, Università degli Studi di Catania)
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A remark on λ-interwining hyponormal operators
Get PDFWe 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
Hermite-Hadamard type inequalities for GA-s-convex functions
Get PDFIn 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
Unification of almost strongly μ_θ -continuous functions
Get PDFWe 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
On a differential subordination and superordination of a new class of meromorphic functions
Get PDFIn 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
Coefficient estimate of bi-Bazilevic function defined by Srivastava-Attiya operator
Get PDFIn this paper, we introduce and investigate two new subclasses of the functionclass\sigma of bi-univalent functions dened in the open unit disk, which are associated with thegeneralized Srivastava-Attiya operator, satisfying subordinate conditions. Furthermore, we ndestimates on the Taylor-Maclaurin coecients |a_2| and |a_3| for functions in these new subclasses. Several (known or new) consequences of the results are also pointed out
Some Simpson type integral inequalities for s-geometrically convex functions with applications
Get PDFIn this paper, we establish some new Simpson type integral inequalities by using s-geometrically convex functions and then give some applications to special means of real numbers
Hermite-Hadamard type integral inequalities when the power of the absolute value of the first derivative of the integrand is preinvex
Get PDFIn 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
Decay estimate of viscosity solutions of nonlinear parabolic PDEs and applications
Get PDFThe aim of this paper is to establish a decay estimate for viscosity solutions of nonlinear PDEs. As an application we prove existence and uniqueness for time almost periodic viscosity solutions
On some Interesting properties of multivalent analytic functions involving a Liu-Owa operator
Get PDFIn this paper, we introduce some new subclasses of multivalent analytic functions in the unit disc E, and investigate a number of inclusion relationships, radius problem, and some other interesting properties of p-valent functions which are defined here by means of a certain integral operator Q_{β,p}^{α}f(z)
A study of I-functions of two variables
Get PDFIn 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