Zobrazeno 1 - 10
of 180
pro vyhledávání: '"Waqar Afzal"'
Publikováno v:
AIMS Mathematics, Vol 9, Iss 6, Pp 16061-16092 (2024)
Fractional calculus and convex inequalities combine to form a comprehensive mathematical framework for understanding and analyzing a variety of problems. This note develops Hermite-Hadamard, Fejér, and Pachpatte type integral inequalities within pse
Externí odkaz:
https://doaj.org/article/269d065136384af1862c7556ac500e43
Publikováno v:
Mathematical Biosciences and Engineering, Vol 21, Iss 2, Pp 3422-3447 (2024)
Convex and preinvex functions are two different concepts. Specifically, preinvex functions are generalizations of convex functions. We created some intriguing examples to demonstrate how these classes differ from one another. We showed that Godunova-
Externí odkaz:
https://doaj.org/article/de82d660f4c64f629ea47a16f78859ff
Publikováno v:
AIMS Mathematics, Vol 9, Iss 2, Pp 5122-5146 (2024)
Mathematical inequalities supporting interval-valued stochastic processes are rarely addressed. Recently, Afzal et al. introduced the notion of $ \mathtt{h} $-Godunova-Levin stochastic processes and developed Hermite-Hadamard and Jensen type inequali
Externí odkaz:
https://doaj.org/article/be263b7865b64df28f21cd9a5601af7d
Publikováno v:
Fractal and Fractional, Vol 8, Iss 9, p 518 (2024)
Function spaces play a crucial role in the study and application of mathematical inequalities. They provide a structured framework within which inequalities can be formulated, analyzed, and applied. They allow for the extension of inequalities from f
Externí odkaz:
https://doaj.org/article/82bd6f5d507647438fed3bd45bb164dd
Publikováno v:
Mathematics, Vol 12, Iss 16, p 2464 (2024)
In dynamical systems, Hilbert spaces provide a useful framework for analyzing and solving problems because they are able to handle infinitely dimensional spaces. Many dynamical systems are described by linear operators acting on a Hilbert space. Unde
Externí odkaz:
https://doaj.org/article/1778e89bcea3496b98415d6ea14b9d8e
Publikováno v:
Journal of Ovarian Research, Vol 16, Iss 1, Pp 1-20 (2023)
Abstract Reproductive traits play a vital role in determining the production efficiency of sheep. Maximizing the production is of paramount importance for breeders worldwide due to the growing population. Circular RNAs (circRNAs) act as miRNA sponges
Externí odkaz:
https://doaj.org/article/dc4268e3b6f84be5a06fd1043e6d3e34
Publikováno v:
AIMS Mathematics, Vol 8, Iss 9, Pp 19913-19932 (2023)
This note introduces the concept of $ (h_1, h_2) $-convex stochastic processes using interval-valued functions. First we develop Hermite-Hadmard $ (\mathbb{H.H}) $ type inequalities, then we check the results for the product of two convex stochastic
Externí odkaz:
https://doaj.org/article/413812d4e4ad4f3cb4a75fd3ff9557e7
Publikováno v:
AIMS Mathematics, Vol 8, Iss 7, Pp 16013-16030 (2023)
In optimization, convex and non-convex functions play an important role. Further, there is no doubt that convexity and stochastic processes are closely related. In this study, we introduce the notion of the $ h- $convex stochastic process for center-
Externí odkaz:
https://doaj.org/article/8244088914684e86b4db707bef690036
Autor:
Mingge Han, Ruifeng Cui, Delong Wang, Hui Huang, Cun Rui, Waqar Afzal Malik, Jing Wang, Hong Zhang, Nan Xu, Xiaoyu Liu, Yuqian Lei, Tiantian Jiang, Liangqing Sun, Kesong Ni, Yapeng Fan, Yuexin Zhang, Junjuan Wang, Xiugui Chen, Xuke Lu, Zujun Yin, Shuai Wang, Lixue Guo, Lanjie Zhao, Chao Chen, Wuwei Ye
Publikováno v:
BMC Plant Biology, Vol 23, Iss 1, Pp 1-18 (2023)
Abstract Background Cotton is an important industrial crop and a pioneer crop for saline-alkali land restoration. However, the molecular mechanism underlying the cotton response to salt is not completely understood. Methods Here, we used metabolome d
Externí odkaz:
https://doaj.org/article/a77016fb610d4166abe0dad27424652e
Publikováno v:
AIMS Mathematics, Vol 8, Iss 6, Pp 13473-13491 (2023)
An important part of optimization is the consideration of convex and non-convex functions. Furthermore, there is no denying the connection between the ideas of convexity and stochastic processes. Stochastic processes, often known as random processes,
Externí odkaz:
https://doaj.org/article/13f90feabb584aaf9d8235d5345ce6aa