Yue-Ping Jiang

Some subclasses of multivalent analytic functions involving the Dziok–Srivastava operator

In the present paper, we introduce and investigate some new subclasses of multivalent analytic functions involving the Dziok–Srivastava operator. Such results as inclusion relationships, integral representations, convolution properties and integral-preserving properties for these function classes are proved. The results presented here would provide extensions of those given in earlier works. Several other new results are also obtained.

Full length article: Bounds for the perimeter of an ellipse

In this paper, we present several bounds for the perimeter of an ellipse, which improve some well-known results.

Certain subclasses of multivalent analytic functions involving the generalized Srivastava–Attiya operator

By making use of the principle of subordination between analytic functions and the generalized Srivastava–Attiya operator, we introduce and investigate some new subclasses of multivalent analytic functions. Such results as inclusion relationships and integral-preserving properties involving these subclasses are proved. Several subordination and superordination results associated with this operator are also derived.

Bounds for complete elliptic integrals of the second kind with applications

In this paper, we present some sharp bounds for complete elliptic integrals of the second kind. As applications, we establish several inequalities for the perimeter of an ellipse.

Hölder concavity and inequalities for Jacobian elliptic functions

In this paper, the concavity with respect to Hölder means and monotonicity of Jacobian elliptic functions are investigated, and some functional inequalities and elementary estimates for Jacobian elliptic functions are obtained.

Monotonicity, Convexity, and Inequalities Involving the Agard Distortion Function

We present some monotonicity, convexity, and inequalities for the Agard distortion function 𝜂𝐾(𝑡) and improve some well-known results.