Zobrazeno 1 - 10
of 247
pro vyhledávání: '"montgomery identity"'
Autor:
Marwa M. Tharwat, Marwa M. Ahmed, Ammara Nosheen, Khuram Ali Khan, Iram Shahzadi, Dumitru Baleanu, Ahmed A. El-Deeb
Publikováno v:
AIMS Mathematics, Vol 9, Iss 5, Pp 12778-12799 (2024)
In this article, the Montgomery identity and Ostrowski inequality are established for univariate first-order diamond-alpha differentiable functions. We also investigate the generalization of Ostrowski-type inequalities for bivariate functions with bo
Externí odkaz:
https://doaj.org/article/9e4a6451298b4174bc6b83be29d68b32
Autor:
Ahmed A. El-Deeb
Publikováno v:
Journal of Inequalities and Applications, Vol 2023, Iss 1, Pp 1-13 (2023)
Abstract We prove new Ostrowski-type α-conformable dynamic inequalities and its companion inequalities on time scales by using the integration-by-parts formula on time scales associated with two parameters for functions with bounded second delta der
Externí odkaz:
https://doaj.org/article/5655fec6f2f5444688dce9e29a986c5a
Autor:
Atiqe Ur Rahman, Khuram Ali Khan, Ammara Nosheen, Muhammad Saeed, Thongchai Botmart, Nehad Ali Shah
Publikováno v:
AIMS Mathematics, Vol 7, Iss 9, Pp 16657-16672 (2022)
In this paper, the Montgomery identity is generalized for double integrals on time scales by employing a novel analytical approach to develop the generalized Ostrowski type integral inequalities involving double integrals. Some inimitable cases are d
Externí odkaz:
https://doaj.org/article/8f1d535648754eeeb8a62c9196f85565
Autor:
Ahmed A. El-Deeb
Publikováno v:
Journal of Inequalities and Applications, Vol 2022, Iss 1, Pp 1-14 (2022)
Abstract In the present manuscript, we prove some new extensions of the dynamic Ostrowski inequality and its companion inequalities on an arbitrary time scale by using two parameters for functions whose second delta derivatives are bounded. In additi
Externí odkaz:
https://doaj.org/article/5c4860af715a4e55aea3c625a0b2966b
Publikováno v:
Journal of Inequalities and Applications, Vol 2022, Iss 1, Pp 1-17 (2022)
Abstract In the current paper, a generalized Montgomery identity is obtained with the help of Taylor’s formula on time scales. The obtained identity is used to establish Ostrowski inequality, mid-point inequality, and trapezoid inequality. Moreover
Externí odkaz:
https://doaj.org/article/455c33d77a454b3f90aeadf1daefd8bb
Publikováno v:
Sahand Communications in Mathematical Analysis, Vol 18, Iss 4, Pp 59-72 (2021)
The purpose of this article is to generalize Cebysev type inequalities for double integrals involving a weight function.By using an integral transform that is a weighted Montgomery identity, we obtained a generalized form of weighted Cebysev type ine
Externí odkaz:
https://doaj.org/article/42fe132da561460e91fd7f8b80a47312
Akademický článek
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Publikováno v:
Axioms, Vol 12, Iss 5, p 434 (2023)
In this paper we extend general Hardy’s inequality by appropriately combining Montgomery’s identity and Green functions. Related Grüss and Ostrowski-type inequalities are also derived.
Externí odkaz:
https://doaj.org/article/d58764162ffb4ddbb368789566bd1d18
Publikováno v:
AIMS Mathematics, Vol 6, Iss 2, Pp 1880-1888 (2021)
We disprove and correct some recently obtained results regarding Montgomery identity for quantum integral operator and Ostrowski type inequalities involving convex functions.
Externí odkaz:
https://doaj.org/article/20d37127cc8243ae934b27181893b349
Publikováno v:
Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-16 (2020)
Abstract In this paper we give generalized results of a majorization inequality by using extension of the Montgomery identity and newly defined Green’s functions (Mehmood et al. in J. Inequal. Appl. 2017(1):108, 2017). We obtain a generalized major
Externí odkaz:
https://doaj.org/article/37f162a0e4f44e958295bff740069bfd