Some Conjectures about Integral Means Of

نویسندگان

  • Stephen J. Montgomery-Smith
  • STEPHEN J. MONTGOMERY-SMITH
چکیده

1. The problems. In this note we shall discuss some conjectural integral inequalities which are related to quasiconformal mappings, singular integrals, martingales and the calculus of variations.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

SOME CONJECTURES ABOUT INTEGRAL MEANS OF ∂f AND ∂f

Here we denote by Ẇ (C,C) denotes the “homogeneous” Sobolev space of complex valued locally integrable functions in the plane whose distributional first derivatives are in L on the plane. Integrals without specified variables are understood to be with respect to Lebesgue measure. Since ∂(f) = ∂f, Conjecture 1 is true if and only if (1.1) always holds when L(∂f, ∂f) in the integral is replaced b...

متن کامل

Some new families of definite polynomials and the composition conjectures

The planar polynomial vector fields with a center at the origin can be written as an scalar differential equation, for example Abel equation. If the coefficients of an Abel equation satisfy the composition condition, then the Abel equation has a center at the origin. Also the composition condition is sufficient for vanishing the first order moments of the coefficients. The composition conjectur...

متن کامل

Connections between labellings of trees

There are many long-standing conjectures related with some labellings of trees. It is important to connect labellings that are related with conjectures. We find some connections between known labellings of simple graphs.

متن کامل

Contemporary Mathematics Multiple Polylogarithms: A Brief Survey

We survey various results and conjectures concerning multiple polylogarithms and the multiple zeta function. Among the results, we announce our resolution of several conjectures on multiple zeta values. We also present new results about integral representations and a q-analogue of the shuue product.

متن کامل

Some new Ostrowski type fractional integral inequalities for generalized $(r;g,s,m,varphi)$-preinvex functions via Caputo $k$-fractional derivatives

In the present paper, the notion of generalized $(r;g,s,m,varphi)$-preinvex function is applied to establish some new generalizations of Ostrowski type integral inequalities via Caputo $k$-fractional derivatives. At the end, some applications to special means are given.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1997