Next Article in Journal
On a Laminated Timoshenko Beam with Nonlinear Structural Damping
Previous Article in Journal
Improving Kernel Methods for Density Estimation in Random Differential Equations Problems
Open AccessArticle

The Complementary q-Lidstone Interpolating Polynomials and Applications

1
Department of Mathematics, Faculty of Science, Cairo University, Giza 12613, Egypt
2
Department of Computer Science and Engineering, Faculty of Applied Studies and Community Service, King Saud University, Riyadh 11451, Saudi Arabia
*
Authors to whom correspondence should be addressed.
Math. Comput. Appl. 2020, 25(2), 34; https://doi.org/10.3390/mca25020034
Received: 30 April 2020 / Revised: 16 June 2020 / Accepted: 16 June 2020 / Published: 19 June 2020
(This article belongs to the Section Natural Sciences)
In this paper, we introduce the complementary q-Lidstone interpolating polynomial of degree 2 n , which involves interpolating data at the odd-order q-derivatives. For this polynomial, we will provide a q-Peano representation of the error function. Next, we use these results to prove the existence of solutions of the complementary q-Lidstone boundary value problems. Some examples are included. View Full-Text
Keywords: q-Lidstone polynomials; q-Peano’s theorem; complementary q-Lidstone; boundary value problems q-Lidstone polynomials; q-Peano’s theorem; complementary q-Lidstone; boundary value problems
MDPI and ACS Style

Mansour, Z.; Al-Towailb, M. The Complementary q-Lidstone Interpolating Polynomials and Applications. Math. Comput. Appl. 2020, 25, 34. https://doi.org/10.3390/mca25020034

AMA Style

Mansour Z, Al-Towailb M. The Complementary q-Lidstone Interpolating Polynomials and Applications. Mathematical and Computational Applications. 2020; 25(2):34. https://doi.org/10.3390/mca25020034

Chicago/Turabian Style

Mansour, Zeinab; Al-Towailb, Maryam. 2020. "The Complementary q-Lidstone Interpolating Polynomials and Applications" Math. Comput. Appl. 25, no. 2: 34. https://doi.org/10.3390/mca25020034

Find Other Styles
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop