Add to ORKGIn this note, we determine two simple and sharp lower bounds for exp(x^2), improving two well-known lower bounds. They are defined by continuous even functions on R using exponential functions for the first lower bound, and polynomial-exponential functions for the second lower bound. The results are illustrated by a numerical study and some graphics
AbstractEstimates for orthogonal polynomials associated with exp(−xm), x real, m even, are dealt wit...
Extremal problems for functions of positive real part with a fixed coefficient and application
In this note, new sharp bounds for trigonometric functions are proved. We provide alternative proofs...
In this note, we determine two simple and sharp lower bounds for exp(x^2), improving two well-known ...
International audienceThis note is devoted to new sharp lower bounds for exp(x^2). We first introduc...
International audienceThis note is devoted to new sharp lower bounds for exp(x^2). We first introduc...
This article is devoted to the determination of sharp lower and upper bounds for exp(−x^2) over the ...
This article is devoted to the determination of sharp lower and upper bounds for exp(−x^2) over the ...
The prime goal of this paper is to establish sharp lower and upper bounds for useful functions such ...
Abstract. The natural exponential function is one of the most important functions students should le...
This development proves upper and lower bounds for several familiar real-valued functions. For sin, ...
Abstract In this paper, new bounds for the exponential function with cotangent are found by using th...
Recent advances in mathematical inequalities suggest that bounds of polynomial-exponential-type are ...
AbstractLetIn(x) be the residual after thenth term of power series for a functionf. In the casef(x)=...
In this paper we present two classes of extremal approximating functions. These functions have the p...
AbstractEstimates for orthogonal polynomials associated with exp(−xm), x real, m even, are dealt wit...
Extremal problems for functions of positive real part with a fixed coefficient and application
In this note, new sharp bounds for trigonometric functions are proved. We provide alternative proofs...
In this note, we determine two simple and sharp lower bounds for exp(x^2), improving two well-known ...
International audienceThis note is devoted to new sharp lower bounds for exp(x^2). We first introduc...
International audienceThis note is devoted to new sharp lower bounds for exp(x^2). We first introduc...
This article is devoted to the determination of sharp lower and upper bounds for exp(−x^2) over the ...
This article is devoted to the determination of sharp lower and upper bounds for exp(−x^2) over the ...
The prime goal of this paper is to establish sharp lower and upper bounds for useful functions such ...
Abstract. The natural exponential function is one of the most important functions students should le...
This development proves upper and lower bounds for several familiar real-valued functions. For sin, ...
Abstract In this paper, new bounds for the exponential function with cotangent are found by using th...
Recent advances in mathematical inequalities suggest that bounds of polynomial-exponential-type are ...
AbstractLetIn(x) be the residual after thenth term of power series for a functionf. In the casef(x)=...
In this paper we present two classes of extremal approximating functions. These functions have the p...
AbstractEstimates for orthogonal polynomials associated with exp(−xm), x real, m even, are dealt wit...
Extremal problems for functions of positive real part with a fixed coefficient and application
In this note, new sharp bounds for trigonometric functions are proved. We provide alternative proofs...