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77.866  Articles
1 of 7.788 pages  |  10  records  |  more records»
For odd r?Nr\in \mathbb{N}; a,ß>0\alpha, \beta >0; p?[1,8]p\in [1, \infty]; d?(0,2p)\delta \in (0, 2 \pi), any 2p2\pi-periodic function x?Lr8(I2p)x\in L^r_{\infty}(I_{2\pi}), I2p:=[0,2p]I_{2\pi}:=[0, 2\pi], and arbitrary measurable set B?I2p,B \subset ... see more

We prove new sharp Remez-type inequalities of various metrics for periodic functions, polynomials and splines.

We prove new sharp Remez-type inequalities of various metrics on the sets of functions with a given comparison function.

Aim of the present paper is to investigate a new integral inequality of Grüss type for a hypergeometric fractional integral. Two main results are proved, the first one deals with Grüss type inequality using the hypergeometric fractional integral. The seco... see more

For any p∈(0,∞]," role="presentation" style="font-size: 100%; display: inline-block; position: relative;">p?(0,8],p\in (0, \infty], ω>0," role="presentation" style="font-size: 100%; display: inline-block; position: relative;">?>... see more

In this study are investigated p-convex stochastic processes which are extensions of convex stochastic processes. A suitable example is also given for this process. In addition, in this case a p-convex stochastic process is increasing or decreasing, the r... see more

A number of Chebyshev type inequalities involving various fractional integral operators have, recently, been presented. In this work, motivated essentially by the earlier works and their applications in diverse research subjects, we establish some new Pol... see more

We study an optimal control problem for degenerate elliptic variation inequality with degenerate weight function of potential type in the  so-called class of H-admissible solutions. Using an appropriate regular algorithm of perturbation, we prove att... see more

We study an optimal control problem for degenerate elliptic variation inequality with degenerate weight function of potential type in the  so-called class of H-admissible solutions. Using an appropriate regular algorithm of perturbation, we prove att... see more

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