Zobrazeno 1 - 10
of 313
pro vyhledávání: '"power means"'
Publikováno v:
AIMS Mathematics, Vol 9, Iss 5, Pp 11278-11303 (2024)
The Jensen inequality is of fundamental importance because of its influential and interesting consequences. In recent years, the Jensen inequality has been supposed to be the most engaging source for research. We present interesting improvements to t
Externí odkaz:
https://doaj.org/article/e80a41cec9ff49738e4d8c202e8c1fcd
Publikováno v:
AIMS Mathematics, Vol 8, Iss 4, Pp 9166-9184 (2023)
We investigate and prove a new lemma for twice differentiable functions with the fractional integral operator AB. Based on this newly developed lemma, we derive some new results about this identity. These new findings provide some generalizations of
Externí odkaz:
https://doaj.org/article/64445d0ce3f74d78a909a52cf7a56396
Publikováno v:
AIMS Mathematics, Vol 7, Iss 3, Pp 3303-3320 (2022)
The comprehension of inequalities in preinvexity is very important for studying fractional calculus and its effectiveness in many applied sciences. In this article, we develop and study of fractional integral inequalities whose second derivatives are
Externí odkaz:
https://doaj.org/article/c7d34e2fa3454b8f8b7a7640bfaab587
Akademický článek
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Autor:
Wenpeng Zhang, Xingxing Lv
Publikováno v:
Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-13 (2021)
Abstract The main purpose of this article is by using the properties of the fourth character modulo a prime p and the analytic methods to study the calculating problem of a certain hybrid power mean involving the two-term exponential sums and the rec
Externí odkaz:
https://doaj.org/article/33cffdc553774e30ad3c58f2a4d59f7b
Publikováno v:
Mathematics, Vol 11, Iss 8, p 1957 (2023)
The main purpose of this manuscript is to present some new estimations of the Jensen gap in a discrete sense along with their applications. The proposed estimations for the Jensen gap are provided with the help of the notion of 6-convex functions. So
Externí odkaz:
https://doaj.org/article/7ab4f341be64400d9edbe6c1056212a1
Autor:
Mohsen Kian, Fatemeh Rashid
Publikováno v:
Surveys in Mathematics and its Applications, Vol 15 (2020), Pp 315-324 (2020)
t has been shown that if μ is a compactly supported probability measure on Mn+, then for every unit vector η∈ℂn, there exists a compactly supported probability measure (denoted by on ℝ+ so that the inequality ≤ Pt() (t∈(0,1]) holds. In
Externí odkaz:
https://doaj.org/article/6f0797076cb74b1f90cb2977b4881835
Publikováno v:
Mathematics, Vol 10, Iss 24, p 4817 (2022)
The prime purpose of this paper is to provide a refinement of Jensen’s inequality in connection with a positive finite sequence. We deal with the refinement for particular cases and point out the relation between the new result with earlier results
Externí odkaz:
https://doaj.org/article/89b057b4339e49fc9f72e1c3f26e073f
Publikováno v:
Сельскохозяйственные машины и технологии, Vol 13, Iss 4, Pp 16-24 (2019)
Russian manufacturing companies do not produce high-clearance equipment for nursery farms growing fruit and berry planting material. In this respect, VIM and Michurinsk State Agrarian University have developed a system of high-clearance machines, tak
Externí odkaz:
https://doaj.org/article/1c4fe7974e194c87adf7ca7b4947a169
Autor:
Peng Gao
Publikováno v:
Journal of Inequalities and Applications, Vol 2018, Iss 1, Pp 1-13 (2018)
Abstract Let Mn,r=(∑i=1nqixir)1r $M_{n,r}=(\sum_{i=1}^{n}q_{i}x_{i}^{r})^{\frac{1}{r}}$, r≠0 $r\neq 0$, and Mn,0=limr→0Mn,r $M_{n,0}= \lim_{r \rightarrow 0}M_{n,r}$ be the weighted power means of n non-negative numbers xi $x_{i}$, 1≤i≤n $1
Externí odkaz:
https://doaj.org/article/de121d4c2cc94a9abb024e4fc90b573c