In this paper two kinds of Kantorovich-type q-Bernstein-Stancu operators are introduced, and the statistical approximation properties of these operators are investigated. Furthermore, by means of modulus of continuity, the rates of statistical convergence of these operators are also studied. MSC: 41A10; 41A25; 41A36

In this paper, we take advantage of the reconstruction properties sampling Kantorovich (SK) algorithm to estimate volume human brain for quantification Alzheimer's biomarkers. At first, goodness reconstructions is evaluated, comparing it different interpolation methods by means Peak Signal Noise Ratio (PSNR) index; then stereological Cavalieri/Point-counting technique used infer volumetric data...

Abstract In this paper, we define new higher order Kantorovich-type Szász–Mirakjan operators, give some approximation properties of these operators in terms various moduli continuity. We prove a local theorem, Korovkin-type and Voronovskaja-type theorem. also weighted theorems for operators.

Starting with a positive linear operator we apply the Kantorovich modification and related modification. The resulting operators are investigated. We interested in eigenstructure, Voronovskaya formula, induced generalized convexity, invariant measures iterates. Some known results from literature extended.

We revisit a one-step intermediate Newton iterative scheme that was used by Uko and Velásquez in [17] for the constructive solution of nonlinear equations of the type f(u) + g(u) = 0 . By utilizing weaker hypotheses of the Zabrejko-Nguen kind and a modified majorizing sequence we perform a semilocal convergence analysis which yields finer error bounds and more precise information on the locatio...

The bisimilarity pseudometric based on the Kantorovich lifting is one of the most popular metrics for probabilistic processes proposed in the literature. However, its application in verification is limited to linear properties. We propose a generalization of this metric which allows to deal with a wider class of properties, such as those used in security and privacy. More precisely, we propose ...