K-functional for Neural Networks and r-th Smoothness Moduli
Keywords:
smoothness, functional, modulus, Neural Network
Abstract
We introduce a relationship between the r-th modulus of smoothness and the K-functional of J-peetre in this article.
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References
[1] AL-Ameedee, Sarah A., Waggas Galib Atshan, and Faez Ali AL-Maamori. "On sandwich results of univalent functions defined by a linear operator." Journal of Interdisciplinary Mathematics 23.4 (2020): 803-809.
[2] Al-Ameedee, S. A., Atshan, W. G., & Al-Maamori, F. A. (2021, February). Some New Results of Differential Subordinations for HigherOrder Derivatives of Multivalent Functions. In Journal of Physics: Conference Series (Vol. 1804, No. 1, p. 012111). IOP Publishing.
[3] AL-Ameedee, S. A., Atshan, W. G., & AL-Maamori, F. A. (2020, November). Second Hankel determinant for certain subclasses of bi-univalent functions. In Journal of Physics: Conference Series (Vol. 1664, No. 1, p. 012044). IOP Publishing.
[4] Al-Ameedee, S. A., Atshan, W. G., & Al-Maamori, F. A. (2020, May). Coefficients estimates of bi-univalent functions defined by new subclass function. In Journal of Physics: Conference Series (Vol. 1530, No. 1, p. 012105). IOP Publishing.
[5] A. J. Obaid, A. S. Abdulbaq, S. A. Najy hilmi and S. A. AL-Ameedee, "Role of Information Technology in Structuring and," International Journal of Early Childhood Special Education, vol. 14, no. 3, pp. 567-573, 2022. 10.9756/INT-JECSE/V14I3.72.
[6] Atshan, W. G., AL-Ameedee, S. A., AL-Maamori, F. A., & Altinkaya, S. (2021). APPLICATIONS ON FOURTH-ORDER DIFFERENTIAL SUBORDINATION FOR p-VALENT MEROMORPHIC FUNCTIONS. Honam Mathematical Journal, 43(3), 513-522.
[2] Al-Ameedee, S. A., Atshan, W. G., & Al-Maamori, F. A. (2021, February). Some New Results of Differential Subordinations for HigherOrder Derivatives of Multivalent Functions. In Journal of Physics: Conference Series (Vol. 1804, No. 1, p. 012111). IOP Publishing.
[3] AL-Ameedee, S. A., Atshan, W. G., & AL-Maamori, F. A. (2020, November). Second Hankel determinant for certain subclasses of bi-univalent functions. In Journal of Physics: Conference Series (Vol. 1664, No. 1, p. 012044). IOP Publishing.
[4] Al-Ameedee, S. A., Atshan, W. G., & Al-Maamori, F. A. (2020, May). Coefficients estimates of bi-univalent functions defined by new subclass function. In Journal of Physics: Conference Series (Vol. 1530, No. 1, p. 012105). IOP Publishing.
[5] A. J. Obaid, A. S. Abdulbaq, S. A. Najy hilmi and S. A. AL-Ameedee, "Role of Information Technology in Structuring and," International Journal of Early Childhood Special Education, vol. 14, no. 3, pp. 567-573, 2022. 10.9756/INT-JECSE/V14I3.72.
[6] Atshan, W. G., AL-Ameedee, S. A., AL-Maamori, F. A., & Altinkaya, S. (2021). APPLICATIONS ON FOURTH-ORDER DIFFERENTIAL SUBORDINATION FOR p-VALENT MEROMORPHIC FUNCTIONS. Honam Mathematical Journal, 43(3), 513-522.
Published
2022-06-17
How to Cite
Sarah A. AL-Ameedee, J. Obaid, A., Zeyad Kadhim Jabber, Fouad Abdualameer Salman, & Awatif Ibrahim Mohammed Alhaddad. (2022). K-functional for Neural Networks and r-th Smoothness Moduli. Central Asian Journal of Theoretical and Applied Science, 3(5), 537-540. Retrieved from https://cajotas.centralasianstudies.org/index.php/CAJOTAS/article/view/651
Section
Articles
Copyright (c) 2022 Ahmed J. Obaid; Sarah A. AL-Ameedee, Zeyad Kadhim Jabber, Fouad Abdualameer Salman, Awatif Ibrahim Mohammed Alhaddad
This work is licensed under a Creative Commons Attribution 4.0 International License.
