On a  Half-Discrete Reverse Hilbert-Type Inequality with a Non-Homogeneous Kernel

doi:10.3969/j.issn.1007-2985.2013.05.004

Abstract

XIE Zi-Tian, SUN Yu-Feng. On a Half-Discrete Reverse Hilbert-Type Inequality with a Non-Homogeneous Kernel[J]. journal6, 2013, 34(5): 11-15.

[1] HARDY G H.Note on a Theorem of Hilbert Concerning Series of Positive Term [J].Proc. London Math. Soc.,1925,23(2):XLV-XLVI.

[2] 杨必成.一个半离散的Hilbert不等式 [J].广东第二师范学院学报,2011,31(3):1-7.

[3] 杨必成.一个推广的非齐次核的Hilbert 型积分不等式 [J].吉林大学学报:理学版,2010,48(5):719 -722.

[4] XUE Zi-tian,ZENG Zheng.A Hilbert-Type Integral Inequality Whose Kernel is a Homogeneous Form of Degree-3 [J].J. Math. Anal. Appl.,2008,339：324-331.

[5] 曾峥,谢子填.一个新的有最佳常数因子的 Hilbert型积分不等式 [J].华南师范大学学报：自然科学版,2010(3):31-33.

[6] ZENG Zheng,XIE Zi-tian.A Hilbert’s Inequality with a Best Constant Factor [J].Journal of Inequalities and Applications,2009,Article ID 820176,8 Pages,doi:10.1155/2009/820176.

[7] ZENG Zheng,XIE Zi-tian.On a New Hilbert-Type Integral Inequality with the Integral in Whole Plane [J].Journal of Inequalities and Applications，2010,Article ID 256796,8 Pages,2010.doi:10.1155/2010/256796.

[8] XIE Zi-tian,ZENG Zheng.A New Hilbert-Type Inequality with the Integral in Whole Plane [J].Kyungpook Mathematical Journal,2012,52:291-298.

[9] XIE Zi-tian.A New Reverse Hilbert-Type Inequality with a Best Constant Factor [J].J. Math. Anal. Appl.,2008,343：1 154-1 160.

[10] 谢子填,杨必成,曾峥.一个新的实齐次核的Hilbert 型积分不等式 [J].吉林大学学报:理学版,2010,48(6):941-945.

[11] 谢子填,曾峥.一个实齐次核的Hilbert 型积分不等式及其等价形式 [J].浙江大学学报:理学版,2011，38(3):266-270.

[12] 谢子填.一个实数齐次核的Hilbert 型积分不等式 [J].吉首大学学报:自然科学版，2011,32(4):26-30.

[13] 谢子填,曾峥.一个新的-4μ齐次半离散Hilbert型不等式 [J].吉首大学学报:自然科学版，2012,33(3):15-19.

[14] XIE Zi-tian,ZENG Zheng.On a Hilbert-Type Integral Inequality with the Homogeneous Kernel of Real Number-Degree and Its Operator Form [J].Advances and Applications in Mathematical Sciens,2011,10(5):481-490.

[15] XIE Zi-tian,ZENG Zheng.A New Hilbert-Type Inequality in Whole Plane with the Homogeneous Kernel of Degree 0 [J].i-Manager’s Journal on Mathematics,2013,2(1):13-19.

[16] 匡继昌.常用不等式 [M].第3版.济南:山东科技出版社,2004.

On a Half-Discrete Reverse Hilbert-Type Inequality with a Non-Homogeneous Kernel

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics

Comments

[1]	NIE Caiyun. On a Strengthened Half-Discrete Hilbert-Type Inequality Related to the Riemann Zeta Function [J]. Journal of Jishou University(Natural Sciences Edition), 2020, 41(6): 11-14.
[2]	NIE Caiyun. Improvement of a Half-Discrete Hilbert-Type Inequality Related to the Kernel of Arc Tangent Function [J]. Journal of Jishou University（Natural Sciences Edition), 2019, 40(1): 7-9.
[3]	NIE Caiyun. Strengthening Half-Discrete Hilbert-Type Inequality with aGeneralized Homogeneous Kernel [J]. Journal of Jishou University（Natural Sciences Edition), 2016, 37(6): 10-12.
[4]	SHI Yan-Ping, SHANG Xiao-Zhou. Enhancement of Half-Discrete Hilbert-Type Inequality with Non-Homogeneous Nuclear [J]. journal6, 2016, 37(1): 14-16.
[5]	NIE Cai-Yun. Improved Half-Discrete Hilbert-Type Inequality with Multi-Parameters [J]. journal6, 2015, 36(6): 5-7.
[6]	NIE Cai-Yun. A More Accurate Strengthend Half-Discrete Mulholland’s Inequality [J]. journal6, 2013, 34(6): 9-11.
[7]	XIE Zi-Tian, ZENG Zheng. A New Half-Discrete Hilbert-Type Inequality with the Homogeneous Kernel of Degree －4μ [J]. journal6, 2012, 33(3): 15-19.
[8]	SHI Yan-Ping, SHANG Xiao-Zhou. Improvement of Extended Hilbert-Type Integral Inequality with a Non-Homogeneous Kernel [J]. journal6, 2011, 32(6): 19-21.
[9]	XIE Zi-Tian. A New Hilbert-Type Integral Inequality with the Homogeneous Kernel of Real Number-Degree [J]. journal6, 2011, 32(4): 26-30.
[10]	SHANG Xiao-Zhou, HE Le-Ping. Improvement of Hilbert’s Type Integral Inequality with Some Parameters [J]. journal6, 2010, 31(2): 15-17.
[11]	XING Jia-Sheng, WANG Hong-Zhi. Development from Bernoulli Inequality to Hlder Inequality and Its Applications [J]. journal6, 2010, 31(2): 10-14.
[12]	NIE Cai-Yun, YANG Xin-Mei. Improvement of Hardy-Hilbert’s Type Integral Inequality with Some Parameters [J]. journal6, 2009, 30(6): 29-31.
[13]	WANG Wen-Jie, CHEN Xiao-Yu, TAN Li. On Further Improvement of a Strengthened Hardy-Hilbert's Inequality [J]. journal6, 2007, 28(1): 34-37.
[14]	ZHANG Yao. Strengthening Form of Janic＇’s R R Type Inequality on the High Dimensional Simplex [J]. journal6, 2005, 26(3): 72-75.
[15]	ZHOU Shu-Qing, ZOU Rui-Biao, XIANG Zhan-Hong, CHEN Da-Xue. Estimates for Very Weak Solutions to Elliptic Equations [J]. journal6, 2005, 26(3): 13-19.