Type inequality
A more accurate half-discrete Hardy-Hilbert-type inequality with the best possible constant factor related to the extended Riemann-Zeta function
... Hadamard’s inequality, a half-discrete Hardy-Hilbert-type inequality related to the kernel of the hyperbolic cosecant function with a best possible constant factor expressed by the extended Riemann- ...
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A strengthened Mulholland type inequality with parameters
... Hermite-Hadamard’s inequality, a strengthened version of the Mulholland-type inequality with the best possible constant factor and multi-parameters is ...
16
A multidimensional discrete Hilbert-type inequality
... At the same time, a half-discrete Hilbert- type inequality with a general non-homogeneous kernel and a best constant factor is given by Yang [15].. In this paper, by using the way of wei[r] ...
9
A Trapezoid Type Inequality for Double Integrals
... CERONE, An Ostrowski type inequality for double integrals in terms of L p -norms and applications in numerical integration, Anal.. BARNETT and S.S[r] ...
13
An Ostrowski Type Inequality for Convex Functions
... All the inequalities in (1.8) are sharp and the constant 1 2 is the best possible. In this paper we establish an Ostrowski type inequality for convex functions. Applications for quadrature rules, for ...
12
On Some Grüss Type Inequality in 2-Inner Product Spaces and Applications
... In this paper, we shall give a generalization of the Gr¨ uss type inequality and obtain some applications of the Gr¨ uss type inequality in terms of 2-inner product spaces.. 1..[r] ...
10
Doob's Type Inequality and Strong Law of Large Numbers for Demimartingales
... maximal inequality for ...maximal inequality and upcrossing inequality to the case of demimartingales, and pointed out that the partial sum of a sequence of mean zero associated random variables is a ...
11
Perturbations of an Ostrowski type inequality and applications
... Two perturbations of an Ostrowski type inequality are established. New error bounds for the mid-point, trapezoid, and Simpson quadrature rules are derived. These error bounds can be much better than some ...
10
A Grüss type inequality and its applications
... Recently, Dragomir and Agarwal [3] (or Dragomir and Diamond [4]) presented a gen- eral Gr¨uss-type inequality for complex n-tuples in terms of the first differences of them. Theorem 1.3 [3, Theorems 22 and ...
12
A Reverse Hardy Hilbert Type Inequality
... By estimating the weight coefficient, a reverse Hardy-Hilbert-type inequality is proved. As applications, some equivalent forms and a number of particular cases are obtained. Copyright © 2007 Gaowen Xi. This ...
7
A Cauchy type inequality for Möbius operations
... Cauchy type inequality and a criterion for convergence of series for the restriction of Möbius operations to the open ...Cauchy inequality and convergence of se- ries have importance for the ordinary ...
9
Hajek Renyi type inequality for some nonmonotonic functions of associated random variables
... Hajek-Renyi-type inequality. Marcinkiewicz-Zygmund- type strong law of large numbers for associated random variables, for which the second moment is not necessarily finite, was studied in Louhichi ...
8
On a Hardy Hilbert type inequality with parameters
... By means of the way of weight coefficients and technique of real analysis, an extension of a Hardy-Hilbert-type inequality with parameters and a best possible constant factor is given. The equivalent forms, ...
18
An extension of a multidimensional Hilbert type inequality
... In this paper, by the use of weight coefficients, the transfer formula and the technique of real analysis, a new multidimensional Hilbert-type inequality with multi-parameters and a best possible constant ...
12
Jessen’s type inequality and exponential convexity for positive \(C {0}\) semigroups
... its corresponding adjoint semigroup {Z ∗ (t)} t≥ on V ∗ . As the theory for dual spaces gets more complicated, we do not expect to have the analogous results. One may ask for a de- tailed introduction toward a part of ...
10
On a strengthened Hardy Hilbert type inequality
... possible. Inequality (.) is well known as Hardy-Hilbert’s inequality, and inequality ...this type of inequality were established (see ...Hardy-Hilbert type inequalities, which ...
9
On a half discrete Hilbert type inequality similar to Mulholland’s inequality
... By using the way of weight functions and Hadamard’s inequality, a half-discrete Hilbert-type inequality similar to Mulholland’s inequality with a best constant factor is given. The extension ...
8
General Fritz Carlson's Type Inequality for Sugeno Integrals
... Chalco-Cano, “A convolution type inequality for fuzzy integrals,” Applied Mathematics and Computation, vol.. Sadarangani, “A Cauchy-Schwarz type inequality for fuzzy integrals,” Nonlinea[r] ...
9
Barnes Godunova Levin type inequality of the Sugeno integral for an \((\alpha,m)\) concave function
... In this paper, a Barnes-Godunova-Levin type inequality for the Sugeno integral based on an ( α ,m)-concave function is proved. Some examples are given to illustrate the validity of these inequalities. ...
21
On a multidimensional Hilbert type inequality with parameters
... In this paper, by the use of the way of weight coefficients, the transfer formula and technique of real analysis, a multidimensional discrete Hilbert’s inequality with parameters and a bes[r] ...
14