# Journal of Inequalities and Applications

http://www.journalofinequalitiesandapplications.com/

## List of Papers (Total 3,385)

#### Inner approximation algorithm for generalized linear multiplicative programming problems

An efficient inner approximation algorithm is presented for solving the generalized linear multiplicative programming problem with generalized linear multiplicative constraints. The problem is firstly converted into an equivalent generalized geometric programming problem, then some magnifying-shrinking skills and approximation strategies are used to convert the equivalent...

#### Global maximal inequality to a class of oscillatory integrals

In the present paper, we give the global L q $L^{q}$ estimates for maximal operators generated by multiparameter oscillatory integral S t , Φ $S_{t,\varPhi}$ , which is defined by S t , Φ f ( x ) = ( 2 π ) − n ∫ R n e i x ⋅ ξ e i ( t 1 ϕ 1 ( | ξ 1 | ) + t 2 ϕ 2 ( | ξ 2 | ) + ⋯ + t n ϕ n ( | ξ n | ) ) f ˆ ( ξ ) d ξ , x ∈ R n , S_{t,\varPhi}f(x)=(2\pi)^{-n} \int_{\mathbb{R}^{n...

#### On properties of geodesic semilocal E-preinvex functions

The authors define a class of functions on Riemannian manifolds, which are called geodesic semilocal E-preinvex functions, as a generalization of geodesic semilocal E-convex and geodesic semi E-preinvex functions, and some of its properties are established. Furthermore, a nonlinear fractional multiobjective programming is considered, where the functions involved are geodesic E...

#### Some inequalities for Cesàro means of double Vilenkin–Fourier series

In this paper, we state and prove some new inequalities related to the rate of L p $L^{p}$ approximation by Cesàro means of the quadratic partial sums of double Vilenkin–Fourier series of functions from L p $L^{p}$ .

#### Quadratic transformation inequalities for Gaussian hypergeometric function

In the article, we present several quadratic transformation inequalities for Gaussian hypergeometric function and find the analogs of duplication inequalities for the generalized Grötzsch ring function.

#### New generalized systems of nonlinear ordered variational inclusions involving ⊕ operator in real ordered Hilbert spaces

This manuscript deals with two general systems of nonlinear ordered variational inclusion problems. We also construct some new iterative algorithms for finding approximation solutions to the general systems of nonlinear ordered variational inclusions and prove the convergence of the sequences obtained by the schemes. The results presented in the manuscript are new and improve...

#### Inequalities involving hypergeometric and related functions

An inequality is being proved which is connected to cost-effective numerical density estimation of the hyper-gamma probability distribution. The left-hand side of the inequality is a combination of two in the third parameter distinct versions of the hypergeometric function at the point one. All three parameters are functions of the distribution’s terminal shape. The first and...