On some properties of strictly convex functions

Some properties of boundedly perturbed strictly convex quadratic functions

We investigate the problem (P̃ ) of minimizing f̃(x) := f(x) + p(x) subject to x ∈ D, where f(x) := x Ax + b x, A is a symmetric positive definite n-by-n matrix, b ∈ R, D ⊂ R is convex, and p : R → R satisfies supx∈D |p(x)| ≤ s for some given s < +∞. p is called perturbation, but it may describe some errors caused by modeling, measurement, approximation and calculation. We prove that the strict c...

Some Results on Convex Spectral Functions: I

In this paper, we give a fundamental convexity preserving for spectral functions. Indeed, we investigate infimal convolution, Moreau envelope and proximal average for convex spectral functions, and show that this properties are inherited from the properties of its corresponding convex function. This results have many applications in Applied Mathematics such as semi-definite programmings and eng...

Some Properties of Certain Subclasses of Close-to-Convex and Quasi-convex Functions with Respect to 2k-Symmetric Conjugate Points

some properties of fuzzy hilbert spaces and norm of operators

in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...

Some properties and results for certain subclasses of starlike and convex functions

In the present paper, we introduce and investigate some properties of two subclasses $ Lambda_{n}( lambda , beta ) $ and $ Lambda_{n}^{+}( lambda , beta ) $;  meromorphic and starlike  functions of order $ beta $. In particular, several inclusion relations, coefficient estimates, distortion theorems and covering theorems are proven here for each of these function classes.