The Complementary q-Lidstone Interpolating Polynomials and Applications
Autor: | Maryam Al-Towailb, Zeinab S. Mansour |
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Jazyk: | angličtina |
Rok vydání: | 2020 |
Předmět: |
Polynomial
Degree (graph theory) boundary value problems Applied Mathematics lcsh:T57-57.97 lcsh:Mathematics General Engineering complementary q-Lidstone q-Peano’s theorem lcsh:QA1-939 lcsh:QA75.5-76.95 Polynomial interpolation Computational Mathematics Error function TheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGES lcsh:Applied mathematics. Quantitative methods Applied mathematics Computer Science::Programming Languages Boundary value problem lcsh:Electronic computers. Computer science Representation (mathematics) Mathematics q-Lidstone polynomials |
Zdroj: | Mathematical and Computational Applications, Vol 25, Iss 34, p 34 (2020) Mathematical and Computational Applications Volume 25 Issue 2 |
ISSN: | 2297-8747 |
Popis: | 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. |
Databáze: | OpenAIRE |
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