hace 1 día · In order to show the uniform boundedness of a particular operator, I have to use inequalities like: dα−cα≤(d−c)α and (d−c)α≤dα−cα for 0<c<d and d−c>1. I know ...

hace 2 días · Abstract. In this manuscript, we extend our previous work on the Riemann-Liouville fractional integral of order α > 0 in Bochner-Lebesgue spaces.

hace 6 días · For the integral in the second term on the right hand side, we use Minkowski's inequality for integrals to write. (∫A. |∂kωε. 0(X−t ε (x))|2 dx). 1/2. = (∫X ...

hace 1 día · In this paper, we explore the reverse of Minkowski and Hölder's inequality, unified Jensen's inequality, and Hermite–Hadamard ( H - H )-like inequalities using ...

hace 5 días · ... inequality for ρ follows from. Lemma 1.4. For any three points z0, z1, z2 in D, ρ(z0, z2) − ρ(z2, z1). 1 − ρ(z0, z2)ρ(z2, z1). ≤ ρ(z0, z1) ≤ ρ(z0, z2) + ρ ...

hace 4 días · ... Minkowski's integral formula states. ∫ M n ( 1 + σ H ) = 0. ... inequality is non-negative, therefore, we conclude. σ 2 ( ‖ T ‖ 2 − n ...

hace 4 días · In this paper, we introduce the notion of a quasimodular and we prove that the respective Minkowski functional of the unit quasimodular ball becomes a quasinorm ...

hace 4 días · Abstract The primary goal of this paper is to develop methods for investigating equivalent norms and Hardy-. Littlewood-type theorems on Lipschitz-type ...

hace 2 días · Applying Green's Theorem allows us to convert the area integrals into boundary integrals along the domain's boundary. ... Then, Minkowski's integral inequality is.

hace 5 días · Minkowski's integral inequality, we have. E h h∇i−α. ΘN (t, x) pi. = E. ˆ. T. 2 ... Hence, by Minkowski's inequality, we have. E h. MN (t,T2)pi. ≤ CpE h. M. (1).