Add to ORKGIn this paper, simple rational bounds for the functions f (x)/x or x/f (x) , where f (x) is circular or hyperbolic function are obtained. The inequalities thus established are sufficiently sharp. In particular, some new improved bounds of sinx/x, x/sinhx, x/tanx and tanhx/x are proposed
AbstractUtilising the Beesack version of the Darst–Pollard inequality, some error bounds for approxi...
AbstractWe obtain a Remez-type inequality for a trigonometric polynomial Qn of degree at most n with...
AbstractIn this paper, we establish the following double exponential type Jordan’s inequality (sinrr...
AbstractIn this work the authors present some new lower and upper bounds for the functions sinx/x an...
We determine the best possible constants θ,ϑ,α and β such that the inequalities ((2+cosx)/3)^θ < sin...
AbstractIn this work, a general form of Jordan’s inequality: P2N(x)+aN+1(π2−4x2)N+1≤sinxx≤P2N(x)+1−∑...
AbstractWe obtain sharp constants for Sobolev inequalities for higher order fractional derivatives. ...
AbstractLet h(t) be a non-decreasing function on I and k(t) an increasing function on J. Then h is s...
AbstractIn this work, the following inequality: sinxx≤2π+π−2π3(π2−4x2),x∈(0,π/2] is established. An ...
We prove for the (C, 1) summability method several Tauberian remainder theorems using the general co...
AbstractThe precise Sobolev exponent s∞(φn) of the Butterworth refinable function φn associated with...
Let \u3c8K be the Chebyshev function of a number field K. Let \u3c8K(1)(x) := 2b0x\u3c8K(t) dt and \...
The main aim of this paper is to establish weighted Ostrowski type inequalities for the product of t...
International audienceIn this paper, we investigate the $\ell$th power sum of Hecke eigenvalues of c...
In this paper some inequalities for Dirichlet\u27s and Fejer\u27s kernels proved in [6] are refined ...
AbstractUtilising the Beesack version of the Darst–Pollard inequality, some error bounds for approxi...
AbstractWe obtain a Remez-type inequality for a trigonometric polynomial Qn of degree at most n with...
AbstractIn this paper, we establish the following double exponential type Jordan’s inequality (sinrr...
AbstractIn this work the authors present some new lower and upper bounds for the functions sinx/x an...
We determine the best possible constants θ,ϑ,α and β such that the inequalities ((2+cosx)/3)^θ < sin...
AbstractIn this work, a general form of Jordan’s inequality: P2N(x)+aN+1(π2−4x2)N+1≤sinxx≤P2N(x)+1−∑...
AbstractWe obtain sharp constants for Sobolev inequalities for higher order fractional derivatives. ...
AbstractLet h(t) be a non-decreasing function on I and k(t) an increasing function on J. Then h is s...
AbstractIn this work, the following inequality: sinxx≤2π+π−2π3(π2−4x2),x∈(0,π/2] is established. An ...
We prove for the (C, 1) summability method several Tauberian remainder theorems using the general co...
AbstractThe precise Sobolev exponent s∞(φn) of the Butterworth refinable function φn associated with...
Let \u3c8K be the Chebyshev function of a number field K. Let \u3c8K(1)(x) := 2b0x\u3c8K(t) dt and \...
The main aim of this paper is to establish weighted Ostrowski type inequalities for the product of t...
International audienceIn this paper, we investigate the $\ell$th power sum of Hecke eigenvalues of c...
In this paper some inequalities for Dirichlet\u27s and Fejer\u27s kernels proved in [6] are refined ...
AbstractUtilising the Beesack version of the Darst–Pollard inequality, some error bounds for approxi...
AbstractWe obtain a Remez-type inequality for a trigonometric polynomial Qn of degree at most n with...
AbstractIn this paper, we establish the following double exponential type Jordan’s inequality (sinrr...