Results 11 to 20 of about 8,055,237 (221)

Local approximation properties for certain King type operators

Filomat, 2013
In this paper, we consider a certain King type operators which includes general families of Sz´ asz-Mirakjan, Baskakov, Post-Widder and Stancu operators. By introducing two parameter family of Lipschitz type space, which provides global approximationfortheabovementionedoperators,weobtaintherateofconvergence of this class.
Özarslan, Mehmet Ali, Aktuğlu, Hüseyin   +1 more
openaire   +4 more sources

WEIGHTED APPROXIMATION BY $q$-SZÁSZ-KING TYPE OPERATORS [PDF]

Taiwanese Journal of Mathematics, 2010
By using q-calculus, in the present paper we construct Sz´asz type operators in King sense, this meaning the operators preserve the first and the third test function of Bohman-Korovkin theorem. Rate of local and global convergence is obtained in the frame of weighted spaces. The statistical approximation property of our operators is also revealed.
Octavian Agratini, Ogun Dogru
exaly   +4 more sources

On the limits operators of \(q\)-King type sequences of operators

Modern Mathematical Methods
We determine the limit operators for a sequence of generalized \(q\)-King operators and the sequence of \(q\)-Aldaz-Kounchev-Render operators. For each sequence of operators we prove the uniform convergence to the corresponding limit operators, for which we provide quantitative estimates.
Z. Finta
openaire   +2 more sources

King-type operators related to squared Szasz-Mirakyan basis

Studia Universitatis Babes-Bolyai Matematica, 2020
In this paper we study some approximation properties of a sequence of positive linear operators defined by means of the squared Szasz-Mirakyan basis and prove that these operators behave better than the classical Szasz-Mirakyan operators.
A. Holhoş
openaire   +2 more sources

King type modification of q-Szász-Mirakjan operators

Filomat
In this work, we define a King type modification of q-Sz?sz-Mirakjan operators which reproduce u2. The aim is to study the approximation properties for our operators in weighted function spaces by using the K-functional, second order and usual modulus of continuity.
M. Ayari
openaire   +2 more sources

King type modification of Gamma operators based on the (p,q)-integers which preserve x2

Albaydha University Journal, 2020
By using (p; q)-calculus, we introduce the Kings type modication of (p; q)- Gamma operators, which reproduce the test function x 2 . Then, we estimate the rate of convergence for the constructed operators by using the modulus of continuity in terms of a Lipschitz class function and by means of Peetres K-functionals based on Korovkin ...
A. Al-Abied
openaire   +2 more sources

King type modification of Meyer-König and Zeller operators based on theq-integers

Mathematical and Computer Modelling, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dogru, OGÜN, ÖRKCÜ, MEDİHA
semanticscholar   +5 more sources

Direct and converse theorems for King operators

Acta Universitatis Sapientiae, Mathematica, 2020
For the sequence of King operators, we establish a direct approximation theorem via the first order Ditzian-Totik modulus of smoothness, and a converse approximation theorem of Berens-Lorentz-type.
Zoltan Finta
exaly   +2 more sources

Some Slater's Type Inequalities for Convex Functions of Selfadjoint Operators in Hilbert Spaces [PDF]

, 2008
Some inequalities of the Slater type for convex functions of selfadjoint operators in Hilbert spaces under suitable assumptions for the involved operators are given.
Dragomir, Sever S
core   +5 more sources

Some Jensen's Type Inequalities for Twice Differentiable Functions of Selfadjoint Operators in Hilbert Spaces [PDF]

, 2008
Some Jensen’s type inequalities for twice differentiable functions of selfadjoint operators in Hilbert spaces under suitable assumptions for the involved operators are given.
Dragomir, Sever S
core   +5 more sources