Results 11 to 20 of about 7,185,785 (105)

A new reverse half-discrete Mulholland-type inequality with a nonhomogeneous kernel

Journal of Inequalities and Applications, 2023
In this paper, a new reverse half-discrete Mulholland-type inequality with the nonhomogeneous kernel of the form h ( v ( x ) ln n ) $h(v(x)\ln n)$ and the best possible constant factor is obtained by using the weight functions and the technique of real ...
Ling Peng, Rahela Abd Rahim, Bicheng Yang   +2 more
doaj   +2 more sources

On a More Accurate Half-Discrete Mulholland-Type Inequality Involving One Multiple Upper Limit Function

Journal of Function Spaces, 2021
By the use of the weight functions, the symmetry property, and Hermite-Hadamard’s inequality, a more accurate half-discrete Mulholland-type inequality involving one multiple upper limit function is given.
Xianyong Huang, Bicheng Yang
doaj   +2 more sources

On a Parametric Mulholland-Type Inequality and Applications

Abstract and Applied Analysis, 2019
In this paper, by the use of the weight functions, and the idea of introducing parameters, a discrete Mulholland-type inequality with the general homogeneous kernel and the equivalent form are given.
Bicheng Yang, Meifa Huang, Yanru Zhong
doaj   +2 more sources

A Half-Discrete Hardy–Mulholland-Type Inequality Involving One Multiple Upper Limit Function and One Partial Sum

Mathematics
In this paper, by using the techniques of real analysis, with the help of the Euler–Maclaurin summation formula, Abel’s summation by parts formula, and the differentiation mid-value theorem, we establish a half-discrete Hardy–Mulholland-type inequality ...
Bicheng Yang, Shanhe Wu, Jianquan Liao
doaj   +2 more sources

A General Ostrowski Type Inequality for Double Integrals [PDF]

, 2000
Some generalisations of an Ostrowski Type Inequality in two dimensions for n-time differentiable mappings are given. The result is an Integral Inequality with bounded n-time derivatives.
Hanna, George T, Dragomir, Sever S, Cerone, Pietro   +2 more
core   +6 more sources

An Ostrowski Type Inequality for Convex Functions [PDF]

, 2002
An Ostrowski type integral inequality for convex functions and applications for quadrature rules and integral means are given. A refinement and a counterpart result for Hermite-Hadamard inequalities are obtained and some inequalities for pdf’s and (HH ...
Dragomir, Sever S
core   +6 more sources

On two kinds of the reverse half-discrete Mulholland-type inequalities involving higher-order derivative function

Journal of Inequalities and Applications, 2021
By means of the weight functions, Hermite–Hadamard’s inequality, and the techniques of real analysis, a new more accurate reverse half-discrete Mulholland-type inequality involving one higher-order derivative function is given.
Qiang Chen, Bicheng Yang
doaj   +1 more source

A Trapezoid Type Inequality for Double Integrals [PDF]

, 2000
In this paper, we point out a trapezoid like inequality for double integrals and apply it in connection with the Grüss ...
Dragomir, Sever S, Barnett, Neil S
core   +7 more sources

On Trapezoid Inequality Via a Grüss Type Result and Applications [PDF]

, 1999
In this paper, we point out a Grüss type inequality and apply it for special means (logarithmic mean, identric mean, etc...
McAndrew, Alasdair, Dragomir, Sever S
core   +6 more sources

On a more accurate reverse Mulholland-type inequality with parameters

Journal of Inequalities and Applications, 2019
By the use of the weight coefficients, the idea of introducing parameters and Hermite–Hadamard’s inequality, a more accurate reverse Mulholland-type inequality with parameters and the equivalent forms are given.
Leping He, Hongyan Liu, Bicheng Yang
doaj   +1 more source