[PDF] Top 20 A Further Generalization of Hardy-Hilbert's Integral Inequality with Parameter and Applications
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A Further Generalization of Hardy-Hilbert's Integral Inequality with Parameter and Applications
... If r in (4.4) is replaced by zero, then Widder’s theorem (see [8]) can be recaptured. Remark 5. After simple computation, the inequality (4.4) is equivalent to the inequality (3.4) in [2]. Consequently, ... See full document
9
A Hilbert type fractal integral inequality and its applications
... a Hilbert-type fractional inte- gral inequality and its equivalent form are tentatively ...the Hilbert-type integral inequality can be transplanted to the research of ... See full document
8
A Hilbert type integral inequality under configuring free power and its applications
... the parameter θ as needed. On the other hand, a series of Hilbert- type integral inequalities with single kernels, mixed kernels, and compound kernels can be obtained by selecting appropriate ... See full document
11
on multiple Hardy Hilbert integral inequalities with some parameters
... Hardy-Hilbert inequalities are important in analysis and in their applications (see [7]). In recent years, many results (see [1, 3, 8–10]) have been obtained in the research of ... See full document
11
Recent Developments of Hilbert Type Discrete and Integral Inequalities with Applications
... the Hilbert-type inequality relates to a single symmetric homogeneous kernel of degree −1 such as 1/xy or | lnx/y|/xy and the best constant factor is a more brief form, which does not relate to any ... See full document
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A Hilbert Integral Type Inequality with Parameters
... A Hilbert-type integral inequality with parameters α and α, λ > 0 can be established by introducing a nonhomogeneous kernel ...As applications, some equivalent forms are ... See full document
11
A new extension of a Hardy Hilbert type inequality
... new Hardy-Hilbert’s type inequality with a ...strengthened Hardy-Hilbert’s type ...type integral inequality with some parameters and the equivalent ... See full document
12
On a strengthened Hardy Hilbert type inequality
... possible. Inequality (.) is well known as Hardy-Hilbert’s inequality, and inequality ...a Hardy-Hilbert type ...of inequality were established (see ...some ... See full document
9
On a New Hilbert Hardy Type Integral Operator and Applications
... Hardy’s integral inequality, a Hilbert-Hardy-type integral operator is defined, and the norm of operator is ...As applications, a new Hilbert- Hardy-type ... See full document
10
A Hilbert Type Linear Operator with the Norm and Its Applications
... their integral forms have been recently extended or strengthened in ...a Hilbert-Pachpatte’s reverse ...multiple Hardy-Hilbert-type or Hilbert-type ...some Hilbert-type linear ... See full document
18
A Multiple Hilbert Type Integral Inequality with the Best Constant Factor
... [4] K. Jichang and L. Debnath, “On new generalizations of Hilbert’s inequality and their applica- tions,” Journal of Mathematical Analysis and Applications, vol. 245, no. 1, pp. 248–265, 2000. [5] K. ... See full document
14
On a generalization of a Hilbert type integral inequality in the whole plane with a hypergeometric function
... Abstract By introducing some parameters, we establish a generalization of the Hilbert-type integral inequality in the whole plane with the homogeneous kernel of degree –2λ and the best c[r] ... See full document
8
New Inequalities Similar to Hardy Hilbert Inequality and their Applications
... In this paper, we have two major objectives. One is motivated by [10], to give a gener- alization of (1.3) by introducing two real functions φ(x) and ψ (x). The other is to build a class of new inequalities similar to ... See full document
12
A more accurate half-discrete Hardy-Hilbert-type inequality with the best possible constant factor related to the extended Riemann-Zeta function
... multidimensional Hilbert-type inequalities are provided in ...half-discrete Hilbert-type inequalities with the non-homogeneous kernels, Hardy et ... See full document
27
On a Hardy-Hilbert-Type Inequality with a General Homogeneous Kernel
... By the method of weight coefficients and techniques of real analysis, a Hardy-Hilbert-type inequality with a general homogeneous kernel and a best possible constant factor is given. The equivalent ... See full document
21
Differential Subordination Result with the Srivastava Attiya Integral Operator
... Srivastava, “The Hardy space of analytic functions associated with certain one-parameter families of integral operators,” Journal of Mathematical Analysis and Applications, vol.. Flett, [r] ... See full document
10
On a more accurate half discrete Hardy Hilbert type inequality related to the kernel of exponential function
... Hadamard’s inequality, a half-discrete Hardy-Hilbert-type inequality related to the ker- nel of exponential function with a best possible constant factor expressed by the gamma function is ... See full document
21
A multidimensional Hilbert type integral inequality
... multidimensional Hilbert-type integral inequality with multi-parameters and the best possible constant factor related to the gamma function is ... See full document
13
Integral Inequality of Hardy Type on Time Scales
... Inequalities are essential in the study of Mathematics and are useful tools in the theory of analysis. They have been playing a critical role in the study of the existence and uniqueness properties of solutions of ... See full document
10
Generalization of weighted Ostrowski integral inequality for twice differentiable mappings
... its integral mean. It has wide applications in Numerical integration and Probability ...Ostrowski inequality. Due to the importance of this inequality, in the last few decades, researchers are ... See full document
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