On the rates of pointwise convergence for Bernstein polynomials
J. A. Adell, D. Cárdenas-Morales, A.-J. López-Moreno
Results in Mathematics 80:85 (2025)

Approximation rate and saturation under generalized convergence
P. Garrancho, F.-J. Martínez-Sánchez, D. Cárdenas-Morales
Mathematical Foundations of Computing 7 (2024) 148-157.

Estimates in direct inequalities for the SzászMirakyan operator
J. A. Adell, D. Cárdenas-Morales
RACSAM 117:43 (2023)

Random linear operators arising from piecewise linear interpolation on the unit interval
J. A. Adell, D. Cárdenas-Morales
Mediterranean Journal of Mathematics 19:223 (2022)

Asymptotic and non-asymptotic results in the approximation by Bernstein polynomials
J. A. Adell, D. Cárdenas-Morales
Results in Mathematics 77:166 (2022)

On the uniqueness conjecture for the maximum Stirling numbers of the second kind
J. A. Adell, D. Cárdenas-Morales
Results in Mathematics 76:93 (2021)

Stochastic Bernstein polynomials: uniform convergence in probability with rates
J. A. Adell, D. Cárdenas-Morales
Advances in Computational Mathematics 46 (2020) Paper No. 16, 10 pp.

On the 10th central moment of the Bernstein polynomials
J. A. Adell, D. Cárdenas-Morales
Results in Mathematics 74:113 (2019)

Bernstein-type operators that reproduce exponential functions
A. Aral, D. Cárdenas-Morales, P. Garrancho
Journal of Mathematical Inequalities 12 (2018) 861-872

Quantitative generalized Voronovskaja's formulae for Bernstein polynomials
J. A. Adell, D. Cárdenas-Morales
Journal of Approximation Theory 231 (2018) 41-52

On the Constants in Videnskii Type Inequalities for Bernstein Operators
D. Cárdenas-Morales
Results in Mathematics 72 (2017) 1437-1448

SzászMirakyan Type Operators Which Fix Exponentials
A. Aral, T. Acar, D. Cárdenas-Morales, P. Garrancho
Results in Mathematics 72 (2017) 1393-1404

B-statistical A-summability in conservative approximation
D. Cárdenas-Morales, P. Garrancho
Mathematical Inequalities and Applications 19 (2016) 923936

Two families of BernsteinDurrmeyer type operators
D. Cárdenas-Morales, V. Gupta
Applied Mathematics and Computation 248 (2014) 342-353

Approximation Properties of Bernstein-Durrmeyer Type Operators
D. Cárdenas-Morales, P. Garrancho, I. Rasa
Applied Mathematics and Computation 232 (2014) 1-8

Optimal Simultaneous Approximation via A-Summability
F. Aguilera, D. Cárdenas-Morales, P. Garrancho
Abstract and Applied Analysis 2013, Article ID 824058, 5 pages

Optimality of piecewise s-linear interpolating operators
D. Cárdenas-Morales, P. Garrancho, I. Rasa
Applied Mathematics and Computation 219 (2013) 6445-6448

Asymptotic Formulae via a Korovkin-Type Result
D. Cárdenas-Morales, P. Garrancho, I. Rasa
Abstract and Applied Analysis 2012, Article ID 217464, 12 pages

Saturation in multivariate simultaneous approximation
D. Cárdenas-Morales, A. Fraguela, P. Garrancho
Mathematics and Computers in Simulation 81 (2011) 2098-2102

Bernstein-type operators which preserve polynomials
D. Cárdenas-Morales, P. Garrancho, I. Rasa
Computers and Mathematics with Applications 62 (2011) 158-163

A converse of asymptotic formulae in simultaneous approximation
P. Garrancho, D. Cárdenas-Morales
Applied Mathematics and Computation 217 (2010) 2676-2683

Improving certain Bernstein-type approximation processes
D. Cárdenas-Morales, F. J. Muñoz-Delgado
Mathematics and Computers in Simulation 77 (2008) 170-178

Shape preserving approximation by Bernstein-type operators which fix polynomials
D. Cárdenas-Morales, F. J. Muñoz-Delgado, P. Garrancho
Applied Mathematics and Computation 182 (2006) 1615-1622

Some remarks on Hölder approximation by Bernstein polynomials
D. Cárdenas-Morales, M. A. Jiménez-Pozo, F. J. Muñoz-Delgado
Applied Mathematics Letters 19 (10) (2006) 1118-1121

On generalized convexity and saturation of linear shape preserving operators
D. Cárdenas-Morales, P. Garrancho
East Journal on Approximations 12 (1) (2006) 119-126

A note on almost convex operators and saturation
D. Cárdenas-Morales, P. Garrancho
Applied Mathematics Letters 17 (2004) 711-715

Local saturation of conservative operators
D. Cárdenas-Morales, P. Garrancho
Acta Mathematica Hungarica 100 (1-2) (2003) 83-95

Convexity and conservative Approximation
D. Cárdenas-Morales, P. Garrancho
Annals of the Tiberiu Popoviciu Seminar of Functional Equations, Approximation and
Convexity 1 (2003) 53-61

A general uniform estimate of Korovkin-type for conservative operators
D. Cárdenas-Morales, F. J. Muñoz-Delgado
Communications in Applied Analysis 5 (4) (2001) 445-454

A Korovkin type result in C^k. An application to the M_n operators
D. Cárdenas-Morales, F. J. Muñoz-Delgado
Approximation theory and its applications 13 (2001) 111-123

A result on asymptotic formulae for linear k-convex operators
D. Cárdenas-Morales, P. Garrancho, F. J. Muñoz-Delgado
International Journal of Differential Equations and Applications 2 (3) (2001) 335-347

Almost convexity and quantitative Korovkin type results
F.-J. Muñoz-Delgado, D. Cárdenas-Morales
Applied Mathematics Letters 11 (4) (1998) 105-108

Qualitative Korovkin-type results on conservative approximation
F.-J. Muñoz-Delgado, V. Ramírez-González, D. Cárdenas-Morales
Journal of Approximation Theory 94 (1998) 144-159

An extension of Korovkins theorem. Convergence for sequences of operators
preserving shape properties
F.-J. Muñoz-Delgado, V. Ramírez-Gonzalez, D. Cárdenas-Morales
Comptes Rendus de lAcadémie des Sciences Série I Mathématique 323 (4)
(1996) 421-426