Add to ORKGIn this article we refine Oppenheim's inequality as well as generalized Cusa-Huygens type inequalities established recently by some researchers. One of the results where the bounds of $ \sin x/x $ are tractable will be used to obtain sharp version of Yang Le's inequality
Abstract Opial’s inequality and its ramifications play an important role in the theory of differenti...
In this paper, we establish an extension of Euler’s inequality relating two triangles, which imply ...
AbstractSome generalizations and refinements of the well-known Hölder’s inequality are obtained
Using the power series expansions of the functions cotx,1/sinx and 1/sin2x, and the estimate of the ...
We establish Wilker- and Huygens-type inequalities for inverse trigonometric and inverse hyperbolic ...
AbstractThis paper deals with a new generalized and sharp version of Jordan’s inequality which is a ...
In this article, we propose some renements of Huygens inequality. We establish new bounds for Huygen...
AbstractThe purpose of this paper is twofold: First, we shall show that the refined forms of several...
AbstractIn this work, the following inequality: sinxx≤2π+π−2π3(π2−4x2),x∈(0,π/2] is established. An ...
Various L p form Opial type inequalities are given for cosine and sine operator functions with appli...
We present several new generalized versions of refined Hölder’s inequalities proposed by Tian and Hu...
Abstract In this paper we propose a new method for sharpening and refinements of some trigonometric ...
By using the theory of means, various refinements of Huygens' trigonometric and hyperbolic inequalit...
The main purpose of the present paper is to establish a new discrete Opial-type inequality. Our resu...
AbstractIn this work, two refined forms of Jordan’s inequality: (a)2π+1π3(π2−4x2)+12−π216π5(π2−4x2)2...
Abstract Opial’s inequality and its ramifications play an important role in the theory of differenti...
In this paper, we establish an extension of Euler’s inequality relating two triangles, which imply ...
AbstractSome generalizations and refinements of the well-known Hölder’s inequality are obtained
Using the power series expansions of the functions cotx,1/sinx and 1/sin2x, and the estimate of the ...
We establish Wilker- and Huygens-type inequalities for inverse trigonometric and inverse hyperbolic ...
AbstractThis paper deals with a new generalized and sharp version of Jordan’s inequality which is a ...
In this article, we propose some renements of Huygens inequality. We establish new bounds for Huygen...
AbstractThe purpose of this paper is twofold: First, we shall show that the refined forms of several...
AbstractIn this work, the following inequality: sinxx≤2π+π−2π3(π2−4x2),x∈(0,π/2] is established. An ...
Various L p form Opial type inequalities are given for cosine and sine operator functions with appli...
We present several new generalized versions of refined Hölder’s inequalities proposed by Tian and Hu...
Abstract In this paper we propose a new method for sharpening and refinements of some trigonometric ...
By using the theory of means, various refinements of Huygens' trigonometric and hyperbolic inequalit...
The main purpose of the present paper is to establish a new discrete Opial-type inequality. Our resu...
AbstractIn this work, two refined forms of Jordan’s inequality: (a)2π+1π3(π2−4x2)+12−π216π5(π2−4x2)2...
Abstract Opial’s inequality and its ramifications play an important role in the theory of differenti...
In this paper, we establish an extension of Euler’s inequality relating two triangles, which imply ...
AbstractSome generalizations and refinements of the well-known Hölder’s inequality are obtained