Found 167 Documents (Results 1–100)
A new Hilbert-type integral inequality with the general nonhomogeneous kernel and applications. (English) Zbl 07811275
MSC:
26D15
On a more accurate half-discrete multidimensional Hilbert-type inequality involving one derivative function of \(m\)-order. (English) Zbl 1532.26026
On a reverse Hardy-Hilbert-type integral inequality involving derivative functions of higher order. (English) Zbl 1532.26027
A half-discrete Hilbert-type inequality in the whole plane with the constant factor related to a cotangent function. (English) Zbl 1532.26046
A Hardy-Hilbert-type integral inequality involving two multiple upper-limit functions. (English) Zbl 1532.26031
Certain form of Hilbert-type inequality using non-homogeneous kernel of hyperbolic functions. (English) Zbl 1520.26011
On a Hilbert-type integral inequality in the whole plane with the equivalent forms. (English) Zbl 1510.26017
A more accurate half-discrete Hilbert-type inequality involving one higher-order derivative function. (English) Zbl 07885466
Equivalence conditions of the optimal matching parameters for Hilbert-type multiple integral inequality with quasi-homogeneous kernel and applications. (Chinese. English summary) Zbl 1524.26066
An equivalent property of a Hilbert-type integral inequality and its applications. (English) Zbl 1513.26075
MSC:
26D15
On a class of Hilbert-type inequalities in the whole plane involving some classical kernel functions. (English) Zbl 1501.26019
Reviewer: Constantin Niculescu (Craiova)
\(L^P\) solutions to the parameterized Fredholm integral equations associated with Chandrasekhar kernels. (English) Zbl 1497.45001
Reviewer: Andreas Kleefeld (Jülich)
Equivalent conditions of a multiple Hilbert-type integral inequality with the nonhomogeneous kernel. (English) Zbl 1490.26029
Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 3, Paper No. 107, 21 p. (2022).
Equivalent conditions of optimal half discrete Hilbert type multiple integral inequalities with quasi homogeneous kernel and applications. (English) Zbl 1498.26048
A unified extension of some classical Hilbert-type inequalities and applications. (English) Zbl 1498.26074
Conditions for the validity of a class of optimal Hilbert type multiple integral inequalities with nonhomogeneous kernels. (English) Zbl 1504.26051
On a multiple Hilbert-type integral inequality involving the upper limit functions. (English) Zbl 1504.26081
The equivalent parameter conditions for constructing multiple integral half-discrete Hilbert-type inequalities with a class of nonhomogeneous kernels and their applications. (English) Zbl 1475.26021
Matching parameter conditions for the best Hilbert-type integral inequality with a class of non-homogeneous kernels. (Chinese. English summary) Zbl 1488.26103
MSC:
26D15
Boundedness and approximation of the Chandrasekhar integral operators in \(L^p\) spaces. (English) Zbl 1516.47123
On a mixed kernel Hilbert-type integral inequality and its operator expressions with norm. (English) Zbl 1472.26010
MSC:
26D15
The parameter conditions for the existence of the Hilbert-type multiple integral inequality and its best constant factor. (English) Zbl 1458.26023
Reviewer: James Adedayo Oguntuase (Abeokuta)
A reverse Hardy-Hilbert-type integral inequality involving one derivative function. (English) Zbl 1503.26046
A class of Hilbert-type multiple integral inequalities with the kernel of generalized homogeneous function and its applications. (English) Zbl 1503.26054
On a new Hilbert-type integral inequality involving the upper limit functions. (English) Zbl 1503.26068
A few equivalent statements of a Hilbert-type integral inequality with the Riemann-zeta function. (English) Zbl 1473.26035
Equivalent parameter conditions for the construction of Hilbert-type integral inequalities with a class of non-homogeneous kernels. (Chinese. English summary) Zbl 1474.26108
MSC:
26D15
Equivalent statements of a Hilbert-type integral inequality with the extended Hurwitz zeta function in the whole plane. (English) Zbl 1462.26032
Reviewer: Snezhana Hristova (Plovdiv)
On a Hilbert-type integral inequality with the general nonhomogeneous kernel and the intermediate variables in the whole plane. (Chinese. English summary) Zbl 1463.26062
MSC:
26D15
A Hilbert-type integral inequality with the mixed kernel and its operator expressions with norm. (Chinese. English summary) Zbl 1463.26063
MSC:
26D15
The structural features of Hilbert-type local fractional integral inequalities with abstract homogeneous kernel and its applications. (English) Zbl 1445.26006
MSC:
26A33
Equivalent conditions of a reverse Hilbert-type integral inequality with the kernel of hyperbolic cotangent function related to the Riemann zeta function. (English) Zbl 1442.26036
Raigorodskii, Andrei M. (ed.) et al., Trigonometric sums and their applications. Cham: Springer. 289-305 (2020).
A Hilbert-type integral inequality under configuring free power and its applications. (English) Zbl 1499.26145
A full-planar Hilbert integral inequality related to middle-variable of exponential function. (Chinese. English summary) Zbl 1449.26043
MSC:
26D15
On an equivalent property of a reverse Hilbert-type integral inequality related to the extended Hurwitz-zeta function. (English) Zbl 1425.26015
On Hilbert-type and Hardy-type integral inequalities and applications. (English) Zbl 1435.26001
SpringerBriefs in Mathematics. Cham: Springer (ISBN 978-3-030-29267-6/pbk; 978-3-030-29268-3/ebook). x, 145 p. (2019).
Reviewer: Choonkil Park (Seoul)
On a Hilbert-type integral inequality in the whole plane related to the extended Riemann zeta function. (English) Zbl 1435.26031
Reviewer: James Adedayo Oguntuase (Abeokuta)
On a Hilbert-type integral inequality related to the extended Hurwitz zeta function in the whole plane. (English) Zbl 1429.26037
Reviewer: Sanja Varošanec (Zagreb)
Exact bounds and approximating solutions to the Fredholm integral equations of Chandrasekhar type. (English) Zbl 1412.45004
A Hilbert-type integral inequality in the whole plane related to the kernel of exponent function. (English) Zbl 1498.26080
Equivalent conditions and applications of a class of Hilbert-type integral inequalities involving multiple functions with quasi-homogeneous kernels. (English) Zbl 1498.26045
An existence and uniqueness result for parameterized integral equations with Chandrasekhar kernels. (English) Zbl 1463.45003
Hilbert-type integral inequality related to some special functions and its operator expressions with norm. (Chinese. English summary) Zbl 1438.26080
An extended multidimensional Hardy-Hilbert-type inequality with a general homogeneous kernel. (English) Zbl 1412.26038
A multiple Hilbert-type integral inequality in the whole space. (English) Zbl 1470.39060
Rassias, Themistocles M. (ed.), Applications of nonlinear analysis. Cham: Springer. Springer Optim. Appl. 134, 827-846 (2018).
On a Hilbert-type integral inequality in the whole plane. (English) Zbl 1470.39059
Rassias, Themistocles M. (ed.), Applications of nonlinear analysis. Cham: Springer. Springer Optim. Appl. 134, 665-679 (2018).
Necessary and sufficient condition for a class of Hilbert-type integral inequality with a non-homogeneous kernel and its application. (Chinese. English summary) Zbl 1413.26043
MSC:
26D15
A Hilbert-type fractional integral inequality with the kernel of Mittag-Leffler function and its applications. (English) Zbl 1400.26056
Equivalent properties of a Hilbert-type integral inequality with the best constant factor related to the Hurwitz zeta function. (English) Zbl 1390.26044
Further development of Hilbert-type inequalities. Selected topics in Hilbert-type inequalities. (English) Zbl 1412.26002
Monographs in Inequalities 13. Zagreb: Element (ISBN 978-953-197-629-9/pbk). x, 222 p. (2017).
Reviewer: Sanja Varošanec (Zagreb)
Equivalent conditions of existence of a class of reverse Hardy-type integral inequalities with non-homogeneous kernel. (Chinese. English summary) Zbl 1399.26073
MSC:
26D15
A Hilbert-type integral inequality with a non-monotone and non-homogeneous kernel. (Chinese. English summary) Zbl 1389.26059
MSC:
26D15
A Hilbert-type integral inequality in whole plane related to gamma functions of best constant factor. (Chinese. English summary) Zbl 1389.26039
MSC:
26D15
Structural characteristics and applications of Hilbert-type integral inequalities with homogenous kernel. (Chinese. English summary) Zbl 1389.26041
MSC:
26D15
A new Hilbert-type integral inequality with kernel containing multiple parameters. (Chinese. English summary) Zbl 1389.26053
MSC:
26D15
A Hilbert-type fractal integral inequality and its applications. (English) Zbl 1362.26021
MSC:
26D15
Compositional Yang-Hilbert-type integral inequalities and operators. (English) Zbl 1435.26033
Pardalos, Panos M. (ed.) et al., Contributions in mathematics and engineering. In honor of Constantin Carathéodory. With a foreword by R. Tyrrell Rockafellar. Cham: Springer. 675-749 (2016).
Reviewer: Mohammad Sal Moslehian (Mashhad)
MSC:
26D15
A multi-parameters Hilbert-type integral inequality related to extended zeta function. (Chinese. English summary) Zbl 1374.26057
MSC:
26D15
Generalization of a Hilbert-type inequality related to Euler numbers. (Chinese. English summary) Zbl 1363.26053
MSC:
26D15
Multiple Hilbert-type integral inequalities with homogeneous kernel and some functions. (Chinese. English summary) Zbl 1363.26033
MSC:
26D15
A Hilbert-type integral inequality with multi-parameters and composite kernel. (Chinese. English summary) Zbl 1349.26057
MSC:
26D15
Multiple Hilbert-type inequalities involving some differential operators. (English) Zbl 1337.26027
MSC:
26D10
A Hilbert-type integral inequality with a hybrid kernel and its applications. (English) Zbl 1342.26056
MSC:
26D15
A Hilbert-type integral inequality with the inhomogeneous kernel and multi-parameters. (English) Zbl 1349.26050
MSC:
26D15
A generalization of the basic Hilbert-type integral inequality. (Chinese. English summary) Zbl 1349.26056
MSC:
26D15
A Hilbert-type integral inequality in the whole plane with a non-homogeneous kernel and a few parameters. (English) Zbl 1336.26032
MSC:
26D15
Parameterized Yang-Hilbert-type integral inequalities and their operator expressions. (English) Zbl 1337.26053
Daras, Nicholas J. (ed.) et al., Computation, cryptography, and network security. Cham: Springer (ISBN 978-3-319-18274-2/hbk; 978-3-319-18275-9/ebook). 635-736 (2015).
MSC:
26D15
Multiple parameterize Yang-Hilbert-type integral inequalities. (English) Zbl 1337.26052
Daras, Nicholas J. (ed.) et al., Computation, cryptography, and network security. Cham: Springer (ISBN 978-3-319-18274-2/hbk; 978-3-319-18275-9/ebook). 613-633 (2015).
MSC:
26D15
On a multidimensional Hilbert-type integral inequality with logarithm function. (English) Zbl 1331.26042
The best constants in multidimensional Hilbert-type inequalities involving some weighted means operators. (English) Zbl 1317.26016
A Hilbert-type integral inequality in the whole plane related to the hypergeometric function and the beta function. (English) Zbl 1316.33004
Two kinds of compositions of Hilbert-Hardy-type integral operators and the related inequalities. (English) Zbl 1314.26022
Hilbert-type and Hardy-type integral inequalities with operator expressions and the best constants in the whole plane. (English) Zbl 1309.47016
Two kinds of Hilbert-type integral inequalities in the whole plane. (English) Zbl 1308.26051
MSC:
26D15
Hilbert-type inequalities involving differential operators, the best constants, and applications. (English) Zbl 1307.26018
On a multidimensional Hilbert-type integral inequality associated to the gamma function. (English) Zbl 1338.33011
Multidimensional Hilbert-type integral inequalities and their operators expressions. (English) Zbl 1321.26056
Rassias, Themistocles M. (ed.) et al., Topics in mathematical analysis and applications. Cham: Springer (ISBN 978-3-319-06553-3/hbk; 978-3-319-06554-0/ebook). Springer Optimization and Its Applications 94, 769-814 (2014).
Hilbert-type inequalities including some operators, the best possible constants and applications: a survey. (English) Zbl 1321.26037
Rassias, Themistocles M. (ed.) et al., Topics in mathematical analysis and applications. Cham: Springer (ISBN 978-3-319-06553-3/hbk; 978-3-319-06554-0/ebook). Springer Optimization and Its Applications 94, 17-52 (2014).
Multidimensional half-discrete Hilbert-type inequalities and operator expressions. (English) Zbl 1318.26050
Rassias, Themistocles M. (ed.) et al., Mathematics without boundaries. Surveys in pure mathematics. New York, NY: Springer (ISBN 978-1-4939-1105-9/hbk; 978-1-4939-1106-6/ebook). 651-724 (2014).
On a Hilbert-type integral inequality with a kernel containing logarithm function. (Chinese. English summary) Zbl 1324.26033
MSC:
26D15
On a Hilbert-type integral inequality in the whole plane and an operator expression. (Chinese. English summary) Zbl 1324.26041
MSC:
26D15
A Hilbert-type integral inequality related to the Riemann zeta function. (Chinese. English summary) Zbl 1324.26042
A Hilbert-type integral inequality with quasi-homogeneous kernel and several functions. (Chinese. English summary) Zbl 1324.26031
MSC:
26D15
On a Hilbert-type integral inequality related to Riemann’s zeta function and reverses. (Chinese. English summary) Zbl 1313.26046
MSC:
26D15
On the norm of a Hilbert-type singular multiple integral operator with quasi-homogeneous kernel and its application. (Chinese. English summary) Zbl 1313.26032
MSC:
26D15
A generalization of a Hilbert-type integral inequality. (Chinese. English summary) Zbl 1313.26036
A multidimensional Hilbert-type integral inequality related to the Riemann zeta function. (English) Zbl 1308.26039
Daras, Nicholas J. (ed.), Applications of mathematics and informatics in science and engineering. Selected papers based on the presentations at the 2nd international conference on applications of mathematics and informatics in military sciences, AMIMS, April 12–13, 2013, Hellenic Military Academy, Vari Attikis, Greece. Cham: Springer (ISBN 978-3-319-04719-5/hbk; 978-3-319-04720-1/ebook). Springer Optimization and Its Applications 91, 417-433 (2014).
Reviewer: Sanja Varošanec (Zagreb)
Hilbert-type integral inequalities in the whole plane with the non-homogeneous kernel. (English) Zbl 1295.26026
MSC:
26D15
On Hilbert-type integral inequalities and their operator expressions. (Chinese. English summary) Zbl 1299.26060
MSC:
26D15
A new Hilbert-type inequality with the homogeneous kernel of degree-2. (English) Zbl 1296.26107
MSC:
26D15
A new Hilbert-type integral inequality with multi-parameters and its application. (English) Zbl 1289.26049
MSC:
26D15
A Hilbert type integral inequality with transferable variable kernel. (Chinese. English summary) Zbl 1289.26046
MSC:
26D15
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