Some algorithm for testing convexity of histogram
Some algorithms for quartic smoothing splines
Some Applications of new Modified q-Szász–Mirakyan Operators
This paper we introducing a new sequence of positive q-integral new Modified q-Szász-Mirakyan Operators. We show that it is a weighted approximation process in the polynomial space of continuous functions defined on . Weighted statistical approximation theorem, Korovkin-type theorems for fuzzy continuous functions, an estimate for the rate of convergence and some properties are also obtained for these operators.
Some approximation problems in semi-algebraic geometry
In this paper we deal with a best approximation of a vector with respect to a closed semi-algebraic set C in the space ℝⁿ endowed with a semi-algebraic norm ν. Under additional assumptions on ν we prove semi-algebraicity of the set of points of unique approximation and other sets associated with the distance to C. For C irreducible algebraic we study the critical point correspondence and introduce the ν-distance degree, generalizing the notion developed by other authors for the Euclidean norm. We...
Some approximation properties of the Kantorovich variant of the Bleimann, Butzer and Hahn operators
For some classes of functions locally integrable in the sense of Lebesgue or Denjoy-Perron on the interval , the Kantorovich type modification of the Bleimann, Butzer and Hahn operators is considered. The rate of pointwise convergence of these operators at the Lebesgue or Lebesgue-Denjoy points of is estimated.
Some aspects of simultaneous rational approximation
Some characterizations of best approximations
Some common fixed point results for rational type contraction mappings in partially ordered metric spaces
The purpose of this paper is to establish some common fixed point results for -nondecreasing mappings which satisfy some nonlinear contractions of rational type in the framework of metric spaces endowed with a partial order. Also, as a consequence, a result of integral type for such class of mappings is obtained. The proved results generalize and extend some of the results of J. Harjani, B. Lopez, K. Sadarangani (2010) and D. S. Jaggi (1977).
Some condensation theorems for semigroup operators.
Some convergence results on sinc interpolation.
Some double integral inequalities and applications.
Some exact inequalities of Hardy-Littlewood-Pólya type for periodic functions.
Some extremal properties of orthogonal polynomials.
Some Fixed Point Theorems And Their Applications To Best Simultaneous Approximations
Some fixed point theorems with applications to best simultaneous approximations.
Some footprints of Marcinkiewicz in summability theory
Four basic results of Marcinkiewicz are presented in summability theory. We show that setting out from these theorems many mathematicians have reached several nice results for trigonometric, Walsh- and Ciesielski-Fourier series.
Some generalized error inequalities and applications.
Some geometric properties of finite dimensional, symmetric Banach spaces
Some geometric properties of typical compact convex sets in Hilbert spaces
An investigation is carried out of the compact convex sets X in an infinite-dimensional separable Hilbert space , for which the metric antiprojection from e to X has fixed cardinality n+1 ( arbitrary) for every e in a dense subset of . A similar study is performed in the case of the metric projection from e to X where X is a compact subset of .
Some inegral inequalities involving Taylor's remainder. II.