Results 31 to 40 of about 1,156,986 (207)

Brass-Stancu-Kantorovich Operators on a Hypercube

Dolomites Research Notes on Approximation, 2023
We deal with multivariate Brass-Stancu-Kantorovich operators depending on a non-negative integer parameter and defined on the space of all Lebesgue integrable functions on a unit hypercube. We prove $L^{p}$-approximation and provide estimates for the $L^{p}$-norm of the error of approximation in terms of a multivariate averaged modulus of continuity ...
Başcanbaz-Tunca, Gülen, Gonska, Heiner
openaire   +2 more sources

A quantitative theory for the continuity equation [PDF]

, 2017
In this work, we provide stability estimates for the continuity equation with Sobolev vector fields. The results are inferred from contraction estimates for certain logarithmic Kantorovich--Rubinstein distances.
Seis, Christian
core   +2 more sources

A glimpse at the operator Kantorovich inequality [PDF]

, 2017
We show the following result: Let A be a positive operator satisfying for some scalars m, M with and be a normalized positive linear map, then Besides, we prove that the second inequality in the above can be squared.
H. Moradi, Ibrahim Halil Gümüş, Z. Heydarbeygi   +2 more
semanticscholar   +1 more source

Generalized Kantorovich modifications of positive linear operators

Mathematical Foundations of Computing, 2023
Starting with a positive linear operator we apply the Kantorovich modification and a related modification. The resulting operators are investigated.
A. Acu, Ioan Cristian Buşcu, I. Raşa
semanticscholar   +1 more source

Kantorovich-Schurer bivariate operators [PDF]

Miskolc Mathematical Notes, 2004
Summary: Let \(p,q\) be two non-negative given integers. The sequence \((\tilde{K}_{m,n,p,q})_{m,n\in N}\), \(\tilde{K}_{m,n,p,q}:L_1([0,1]\times [0,1])\to C([0,1]\times[0,1])\), \[ \left(\tilde{K}_{m,n,p,q} f\right)(x,y) \] \[ = (m+p+1)(n+p+1)\times \sum\nolimits^{m+p}_{k=0}\sum\nolimits^{n+q}_{j=0} \tilde{p}_{m,k}(x)\tilde{p}_{n j}(y)\int\nolimits ...
openaire   +3 more sources

Approximations of Antieigenvalue and Antieigenvalue-Type Quantities

International Journal of Mathematics and Mathematical Sciences, 2012
We will extend the definition of antieigenvalue of an operator to antieigenvalue-type quantities, in the first section of this paper, in such a way that the relations between antieigenvalue-type quantities and their corresponding Kantorovich-type ...
Morteza Seddighin
doaj   +1 more source

Some operator inequalities associated with Kantorovich and Hölder–McCarthy inequalities and their applications

Turkish Journal of Mathematics, 2019
We prove analogs of certain operator inequalities, including Hölder–McCarthy inequality, Kantorovich inequality, and Heinz–Kato inequality, for positive operators on the Hilbert space in terms of the Berezin symbols and the Berezin number of operators on
Hamdullah Başaran, M. Gürdal, A. Güncan   +2 more
semanticscholar   +1 more source

Modified Kantorovich-Stancu operators (II) [PDF]

Studia Universitatis Babes-Bolyai Matematica, 2019
In this paper, we introduce a new kind of Bernstein-KantorovichStancu operators. These operators generalize the operators introduced in the paper [2] by V. Gupta, G.
Ioan Gavrea, Adonia-Augustina Opris
openaire   +1 more source

Rate of Convergence of a New Type Kantorovich Variant of Bleimann-Butzer-Hahn Operators

Journal of Inequalities and Applications, 2009
A new type Kantorovich variant of Bleimann-Butzer-Hahn operator Jn is introduced. Furthermore, the approximation properties of the operators Jn are studied.
Lingju Chen, Xiao-Ming Zeng
doaj   +2 more sources

Operator iteration on the Young inequality

Journal of Inequalities and Applications, 2016
In this paper, we employ iteration on operator version of the famous Young inequality and obtain more arithmetic-geometric mean inequalities and the reverse versions for positive operators.
Xianhe Zhao, Le Li, Hongliang Zuo
doaj   +1 more source