SURFACES GENERATED BY BLENDING INTERPOLATION ON A TRIANGLE
We use some interpolation operators of Lagrange, Hermite and Birkhoff type in order to generate surfaces which satisfy some given conditions.
We use some interpolation operators of Lagrange, Hermite and Birkhoff type in order to generate surfaces which satisfy some given conditions.
Several problems with applications to economics, engineering, environment science, social sciences, medical sciences and other fields cannot be solved by classical mathematical methods since they have inherent difficulties due to the inadequacy of the parametriza-tion tools. Exact solutions for the mathematical models are needed in classical mathemat-ics. If the model is so complicated, then it is not easy to find an exact solution. To handle these kind of situations, many tools have been suggested. Probability theory, fuzzy sets, rough sets and other mathematical tools have their inherent difficulties.
New separation axioms which lie strictly between regularity and R₀-axiom are introduced and their basic properties are studied. The interrelations and interconnections among them and the separation axioms which already exist in the mathematical literature are outlined. Their preservation under mappings is discussed. The investigation reveals several new epi-reflective (monoreflective) subcategories of TOP.
In this paper, some properties about the behavior of growth of logarithmic differences of meromorphic functions are obtained, we prove also some relations between the exponent of convergence of meromorphic functions and the growth of their logarithmic differ-ences. In addition, we give some applications in complex difference equations and uniqueness theory.
In this paper, we obtain new sufficient conditions for two integral operators to be univa-lent in the open unit disk U, using a new result on univalence of analytical functions. These integral operators were considered in a recent work [8].
In this paper a general fixed point theorem for two pairs of weakly compatible mappings satisfying implicit relations in G - metric spaces, theorem which generalize and improve main results from [11] is proved.
In this paper a general fixed point theorem for multivalued mappings in G - metric spaces, which generalize Theorem 3.1 [38] is proved and we obtain other results similarly with the results from metric spaces.
In this paper, we obtain a Suzuki type common fixed point theorem in partial G - metric spaces, for a pair of weakly compatible maps in the sense of Jungck, by using a rational contractive condition. We have given an example which supports our main result.