An Integral Inequality Similar to Bellman-Bihari inequality
An integral inequality similar to Qi's inequality.
An integral theorem and its applications to coincidence theorems
An integro-differential inequality related to the smallest positive eigenvalue ofp(x)-Laplacian Dirichlet problem
We consider the eigenvalue problem for the p(x)-Laplace-Beltrami operator on the unit sphere. We prove same integro-differential inequalities related to the smallest positive eigenvalue of this problem.
An interchangeable theorem of -integral.
An interesting double inequality for Euler's gamma function.
An interpolation inequality in exterior domains
An interpolation inequality involving Hölder norms.
An Interpretation Of Some Aspects Of Karamata's Theory Of Regular Variation
An interpretation of some aspects of Karamata's theory of regular variation.
An inverse of the Faà di Bruno formula.
An isoperimetric bound for a Sobolev constant
An isoperimetric inequality in R3
An two-well Liouville theorem.
An observation on the Turán-Nazarov inequality
The main observation of this note is that the Lebesgue measure μ in the Turán-Nazarov inequality for exponential polynomials can be replaced with a certain geometric invariant ω ≥ μ, which can be effectively estimated in terms of the metric entropy of a set, and may be nonzero for discrete and even finite sets. While the frequencies (the imaginary parts of the exponents) do not enter the original Turán-Nazarov inequality, they necessarily enter the definition of ω.
An o-minimal structure which does not admit cellular decomposition
We present an example of an o-minimal structure which does not admit cellular decomposition. To this end, we construct a function whose germ at the origin admits a representative for each integer , but no representative. A number theoretic condition on the coefficients of the Taylor series of then insures the quasianalyticity of some differential algebras induced by . The o-minimality of the structure generated by is deduced from this quasianalyticity property.
An operational Haar wavelet method for solving fractional Volterra integral equations
A Haar wavelet operational matrix is applied to fractional integration, which has not been undertaken before. The Haar wavelet approximating method is used to reduce the fractional Volterra and Abel integral equations to a system of algebraic equations. A global error bound is estimated and some numerical examples with smooth, nonsmooth, and singular solutions are considered to demonstrate the validity and applicability of the developed method.
An optimal 3-point quadrature formula of closed type and error bounds.
An optimal double inequality between power-type Heron and Seiffert means.
An optimal double inequality for means.