Some New Inequalities on Laplace–Stieltjes Transforms Involving Logarithmic Growth
نویسندگان
چکیده
This article is devoted to exploring the properties on logarithmic growth of entire functions represented by Laplace–Stieltjes transforms zero order. In order describe more finely, we introduce some concepts indexes maximum term and center index transforms, establish new inequalities focusing above indexes, order, (lower) type coefficients transforms. Moreover, obtain two estimation forms transform applying these inequalities. One mainly term, other exponent coefficients. Finally, equivalence condition with perfectly linear growth. result shows that can be equivalent extent.
منابع مشابه
Logarithmic Sobolev inequalities for some nonlinear PDE’s
The aim of this paper is to study the behavior of solutions of some nonlinear partial differential equations of Mac Kean-Vlasov type. The main tools used are, on one hand, the logarithmic Sobolev inequality and its connections with the concentration of measure and the transportation inequality with quadratic cost; on the other hand, the propagation of chaos for particle systems in mean field in...
متن کاملSharp Inequalities Involving Neuman–sándor and Logarithmic Means
Sharp bounds for the Neuman-Sándor mean and for the logarithmic mean are established. The bounding quantities are the one-parameter bivariate means called the p-means. In this paper best values of the parameters of the bounding means are obtained. Mathematics subject classification (2010): 26E60, 26D07, 26D20.
متن کاملSome inequalities involving lower bounds of operators on weighted sequence spaces by a matrix norm
Let A = (an;k)n;k1 and B = (bn;k)n;k1 be two non-negative ma-trices. Denote by Lv;p;q;B(A), the supremum of those L, satisfying the followinginequality:k Ax kv;B(q) L k x kv;B(p);where x 0 and x 2 lp(v;B) and also v = (vn)1n=1 is an increasing, non-negativesequence of real numbers. In this paper, we obtain a Hardy-type formula forLv;p;q;B(H), where H is the Hausdor matrix and 0 < q p 1. Also...
متن کاملSome sharp integral inequalities involving partial derivatives
* Correspondence: chjzhao@163. com Department of Mathematics, China Jiliang University, Hangzhou 310018, P. R. China Full list of author information is available at the end of the article Abstract The main purpose of the present article is to establish some new sharp integral inequalities in 2n independent variables. Our results in special cases yield some of the recent results on Pachpatter, A...
متن کاملOn some isoperimetric inequalities involving eigenvalues of symmetric free membranes
and corresponding eigenfunctions v0 = const., v1, v2 ... . Problem (1.1) is often referred in the literature as the free membrane problem, since the eigenvalues of problem (1.1) arise in the physical model of vibrating free membranes. More precisely, the square roots of the above eigenvalues are proportional to the frequencies of a free homogeneous vibrating membrane having the shape of Ω. It i...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Fractal and fractional
سال: 2022
ISSN: ['2504-3110']
DOI: https://doi.org/10.3390/fractalfract6050233