An inequality is proved for a quadratic functional with the logarithmic kernel. The best constant of this inequality and the corresponding function for which the equality holds are found precisely
AbstractLet Ω⊂RN be a smooth bounded domain such that 0∈Ω, N≥5, 0≤s<2, 2∗(s)=2(N−s)N−2. We prove the...
AbstractWe prove a Hardy type inequality in the half-space on the Heisenberg group and show that a H...
AbstractUsing Moser's iteration method, we investigate the local boundedness of solutions for p(x)-L...
AbstractSome new generalizations of the Hilbert integral inequality by introducing real functions ϕ(...
In this paper refinements and converses of matrix forms of the geometric-arithmetic mean inequality ...
AbstractSome embedding inequalities in Hardy–Sobolev spaces with weighted function |x|α are proved. ...
AbstractWe establish sufficient conditions for obtaining a strong converse inequality of type B in t...
AbstractIn this work, the following inequality: sinxx≤2π+π−2π3(π2−4x2),x∈(0,π/2] is established. An ...
AbstractLet Ω⊂Rn be a bounded connected open set with connected real analytic boundary. We show that...
Some conversions of the Jensen-Steffensen inequality for convex functions are considered. Applying e...
A double inequality involving the constant e is proved by using an inequality between the logarithmi...
AbstractOur aim in this paper is to deal with Sobolev embeddings for Riesz potentials of order α for...
AbstractThe kernel K(x,y) of the pseudo-differential operator hμ,a is defined. It is shown that the ...
Let $f$ be a measurable function defined on $\mathbb{R}$. For each $n\in\mathbb{Z}$ define the opera...
Let \u3c8K be the Chebyshev function of a number field K. Let \u3c8K(1)(x) := 2b0x\u3c8K(t) dt and \...
AbstractLet Ω⊂RN be a smooth bounded domain such that 0∈Ω, N≥5, 0≤s<2, 2∗(s)=2(N−s)N−2. We prove the...
AbstractWe prove a Hardy type inequality in the half-space on the Heisenberg group and show that a H...
AbstractUsing Moser's iteration method, we investigate the local boundedness of solutions for p(x)-L...
AbstractSome new generalizations of the Hilbert integral inequality by introducing real functions ϕ(...
In this paper refinements and converses of matrix forms of the geometric-arithmetic mean inequality ...
AbstractSome embedding inequalities in Hardy–Sobolev spaces with weighted function |x|α are proved. ...
AbstractWe establish sufficient conditions for obtaining a strong converse inequality of type B in t...
AbstractIn this work, the following inequality: sinxx≤2π+π−2π3(π2−4x2),x∈(0,π/2] is established. An ...
AbstractLet Ω⊂Rn be a bounded connected open set with connected real analytic boundary. We show that...
Some conversions of the Jensen-Steffensen inequality for convex functions are considered. Applying e...
A double inequality involving the constant e is proved by using an inequality between the logarithmi...
AbstractOur aim in this paper is to deal with Sobolev embeddings for Riesz potentials of order α for...
AbstractThe kernel K(x,y) of the pseudo-differential operator hμ,a is defined. It is shown that the ...
Let $f$ be a measurable function defined on $\mathbb{R}$. For each $n\in\mathbb{Z}$ define the opera...
Let \u3c8K be the Chebyshev function of a number field K. Let \u3c8K(1)(x) := 2b0x\u3c8K(t) dt and \...
AbstractLet Ω⊂RN be a smooth bounded domain such that 0∈Ω, N≥5, 0≤s<2, 2∗(s)=2(N−s)N−2. We prove the...
AbstractWe prove a Hardy type inequality in the half-space on the Heisenberg group and show that a H...
AbstractUsing Moser's iteration method, we investigate the local boundedness of solutions for p(x)-L...
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