In this note, a new strategy is proposed to obtain bounds for functions having product decompositions. Applications are given for trigonometric and hyperbolic functions, thus improving some existing inequalities in the literature. Some graphics illustrate the findings
>IJH=?J In this paper, new sharp bounds for circular and hyperbolic functions are proved. We provide...
This thesis deals with a method of expressing, as infinite products, some special limiting cases of ...
Abstract. We deal with a kind of impossible decomposition of some entire functions in terms of a cer...
In this note, new sharp bounds for trigonometric functions are proved. We provide alternative proofs...
AbstractAn innovative technique is developed for obtaining infinite product representations for some...
This paper is devoted to obtain sharp exponential and polynomial upper bounds for the ratio function...
AbstractApplying the principle of decomposition of a power series into an odd and an even part to a ...
In the short note, by using mathematical induction and infinite product representations of the cosin...
The prime goal of this paper is to establish sharp lower and upper bounds for useful functions such ...
This paper offers a brief insight into the basic theory of convergence of the infinite products of r...
textabstractWe consider infinite products of the form , where {mk} is an arbitrary sequence of trigo...
Recent advances in mathematical inequalities suggest that bounds of polynomial-exponential-type are ...
textabstractWe consider infinite products of the form (see article). We show that (see article) can ...
ABSTRACT. We introduce some new infinite products, the simplest being o0 ( _y)l/(l_q) ( ) I] II ( q’...
Abstract. Convergent infinite products, indexed by all natural numbers, in which each factor is a ra...
>IJH=?J In this paper, new sharp bounds for circular and hyperbolic functions are proved. We provide...
This thesis deals with a method of expressing, as infinite products, some special limiting cases of ...
Abstract. We deal with a kind of impossible decomposition of some entire functions in terms of a cer...
In this note, new sharp bounds for trigonometric functions are proved. We provide alternative proofs...
AbstractAn innovative technique is developed for obtaining infinite product representations for some...
This paper is devoted to obtain sharp exponential and polynomial upper bounds for the ratio function...
AbstractApplying the principle of decomposition of a power series into an odd and an even part to a ...
In the short note, by using mathematical induction and infinite product representations of the cosin...
The prime goal of this paper is to establish sharp lower and upper bounds for useful functions such ...
This paper offers a brief insight into the basic theory of convergence of the infinite products of r...
textabstractWe consider infinite products of the form , where {mk} is an arbitrary sequence of trigo...
Recent advances in mathematical inequalities suggest that bounds of polynomial-exponential-type are ...
textabstractWe consider infinite products of the form (see article). We show that (see article) can ...
ABSTRACT. We introduce some new infinite products, the simplest being o0 ( _y)l/(l_q) ( ) I] II ( q’...
Abstract. Convergent infinite products, indexed by all natural numbers, in which each factor is a ra...
>IJH=?J In this paper, new sharp bounds for circular and hyperbolic functions are proved. We provide...
This thesis deals with a method of expressing, as infinite products, some special limiting cases of ...
Abstract. We deal with a kind of impossible decomposition of some entire functions in terms of a cer...