In the present paper we study convolution properties for subclasses of univalent harmonic functions in the open unit disc and obtain some basic properties such as coefficient characterization and extreme points.  

In this paper, we introduce tripled partially ordered sets and monotone functions on tripled partiallyordered sets. Some basic properties on these new dened sets are studied and some examples forclarifying are given.

The legal basis for the formation of concept "trademark", theoretical aspects are considered, and main functions given in paper. analysis basic legislative acts that contain base concepts trademarks is done, as one types intellectual property: Civil code Ukraine, Commercial to Internal revenue Ukraine other Laws also considered relation trade marks: "On guard rights on signs commodities service...

We investigate conditions for logarithmic complete monotonicity of product ratios gamma and q-gamma functions whose arguments are linear the variable. give necessary sufficient in terms nonnegativity a certain explicitly written measure q case elementary function classical $$q=1$$ case. In latter we further provide simple new leading to many examples logarithmically completely monotonic ratios....

it is well known fact that binary relations are generalized mathematical functions. contrary to functions from domain to range, binary relations may assign to each element of domain two or more elements of range. some basic operations on functions such as the inverse and composition are applicable to binary relations as well. depending on the domain or range or both are fuzzy value fuzzy set, i...

Purpose– Analysis of non-prismatic beams has been focused of attention due to wide use in complex structures such as aircraft, turbine blades and space vehicles. Apart from aesthetic aspect, optimization of strength and weight is achieved in use of this type of structures. The purpose of this paper is to present new shape functions, namely 3-node Basic Displacement Functions (BDFs) for derivati...