A note on sharpening of the Erdo˝s-Lax inequality concerning polynomials
Аутори
Milovanović, Gradimir V.Mir, Abdullah
Hussain, Adil
Ahmad, Abrar
Остала ауторства
Milovanović, Gradimir V.Конференцијски прилог (Објављена верзија)
Метаподаци
Приказ свих података о документуАпстракт
In this paper, we establish some upper bound estimates for the modulus of
the derivative of a polynomial on the unit disk while taking into account the placement of the
zeros and the extremal coefficients of the polynomial. The obtained results sharpen as well as
generalize the Erdo˝s-Lax inequality and its extension by Aziz and Dawood and other related
inequalities.
Кључне речи:
Bernstein-type inequalities / Extremal coefficients / Erdo˝s-Lax inequalityИзвор:
Bulletin T.CLIII de l’Académie serbe des sciences et des arts, 2020, 57-66Издавач:
- Beograd : Académie Serbe des sciences et des arts
Напомена:
- Bulletin t. 153 de l'Académie serbe des sciences et des arts. Classe des sciences mathématiques et naturelles. Sciences mathematiques no 45.
TY - CONF AU - Milovanović, Gradimir V. AU - Mir, Abdullah AU - Hussain, Adil AU - Ahmad, Abrar PY - 2020 UR - https://dais.sanu.ac.rs/123456789/13424 AB - In this paper, we establish some upper bound estimates for the modulus of the derivative of a polynomial on the unit disk while taking into account the placement of the zeros and the extremal coefficients of the polynomial. The obtained results sharpen as well as generalize the Erdo˝s-Lax inequality and its extension by Aziz and Dawood and other related inequalities. PB - Beograd : Académie Serbe des sciences et des arts C3 - Bulletin T.CLIII de l’Académie serbe des sciences et des arts T1 - A note on sharpening of the Erdo˝s-Lax inequality concerning polynomials SP - 57 EP - 66 UR - https://hdl.handle.net/21.15107/rcub_dais_13424 ER -
@conference{ author = "Milovanović, Gradimir V. and Mir, Abdullah and Hussain, Adil and Ahmad, Abrar", year = "2020", abstract = "In this paper, we establish some upper bound estimates for the modulus of the derivative of a polynomial on the unit disk while taking into account the placement of the zeros and the extremal coefficients of the polynomial. The obtained results sharpen as well as generalize the Erdo˝s-Lax inequality and its extension by Aziz and Dawood and other related inequalities.", publisher = "Beograd : Académie Serbe des sciences et des arts", journal = "Bulletin T.CLIII de l’Académie serbe des sciences et des arts", title = "A note on sharpening of the Erdo˝s-Lax inequality concerning polynomials", pages = "57-66", url = "https://hdl.handle.net/21.15107/rcub_dais_13424" }
Milovanović, G. V., Mir, A., Hussain, A.,& Ahmad, A.. (2020). A note on sharpening of the Erdo˝s-Lax inequality concerning polynomials. in Bulletin T.CLIII de l’Académie serbe des sciences et des arts Beograd : Académie Serbe des sciences et des arts., 57-66. https://hdl.handle.net/21.15107/rcub_dais_13424
Milovanović GV, Mir A, Hussain A, Ahmad A. A note on sharpening of the Erdo˝s-Lax inequality concerning polynomials. in Bulletin T.CLIII de l’Académie serbe des sciences et des arts. 2020;:57-66. https://hdl.handle.net/21.15107/rcub_dais_13424 .
Milovanović, Gradimir V., Mir, Abdullah, Hussain, Adil, Ahmad, Abrar, "A note on sharpening of the Erdo˝s-Lax inequality concerning polynomials" in Bulletin T.CLIII de l’Académie serbe des sciences et des arts (2020):57-66, https://hdl.handle.net/21.15107/rcub_dais_13424 .