http://chineseinput.net/에서 pinyin(병음)방식으로 중국어를 변환할 수 있습니다.
변환된 중국어를 복사하여 사용하시면 됩니다.
ESTIMATION OF DIFFERENCE FROM HÄOLDER'S INEQUALITY
김용인 한국수학교육학회 2010 純粹 및 應用數學 Vol.17 No.2
We give an upper bound for the estimation of the di®erence between both sides of the well-known HÄolder's inequality. Moreover, an upper bound for the estimation of the difference of the integral form of HÄolder's inequality is also obtained. The results of this paper are natural generalizations and re¯nements of those of [2-4].
Generalized Hölder's inequality in Orlicz spaces
IFRONIKA,A.A. MASTA,M. NUR,H. GUNAWAN 장전수학회 2019 Proceedings of the Jangjeon mathematical society Vol.22 No.1
Orlicz spaces are generalizations of Lebesgue spaces. The sucient and necessary conditions for generalized Holder's inequality in Lebesgue spaces and in weak Lebesgue spaces are well known. The aim of this paper is to present sucient and necessary conditions for generalized Holder's inequality in Orlicz spaces and in weak Orlicz spaces, which are obtained through estimates for characteristic functions of balls in Rn.
INEQUALITIES OF HERMITE-HADAMARD TYPE FOR n-TIMES DIFFERENTIABLE ARITHMETIC-HARMONICALLY FUNCTIONS
Huriye Kadakal 호남수학회 2022 호남수학학술지 Vol.44 No.2
In this work, by using an integral identity together with both the H¨older and the power-mean integral inequalities we establish several new inequalities for n-times differentiable arithmeticharmonically-convex function. Then, using this inequalities, we obtain some new inequalities connected with means. In special cases, the results obtained coincide with the well-known results in the literature
ON REFINEMENTS OF HÖOLDER'S INEQUALITY II
권언근,배정은 영남수학회 2016 East Asian mathematical journal Vol.32 No.1
Generalized Höolder inequality developed by H. Qiang and Z. Hu is further re ned. Also, generalized Höolder inequality developed by X. Yang is further re ned.
DISCRETE MULTIPLE HILBERT TYPE INEQUALITY WITH NON-HOMOGENEOUS KERNEL
Biserka Draˇsˇci´c Ban,Josip Peˇcari´c,Ivan Peri´,Tibor Pog´any 대한수학회 2010 대한수학회지 Vol.47 No.3
Multiple discrete Hilbert type inequalities are established in the case of non-homogeneous kernel function by means of Laplace integral representation of associated Dirichlet series. Using newly derived integral expressions for the Mordell-Tornheim Zeta function a set of subsequent special cases, interesting by themselves, are obtained as corollaries of the main inequality.
Chan-Ho Park,Mun-Jin Bae,Young-Ho Kim 경남대학교 수학교육과 2020 Nonlinear Functional Analysis and Applications Vol.25 No.3
The main aim of this paper show the conditions to guarantee theexistence and uniqueness of the solution to stochasticdifferential equations. To make this stochastic analysis theorymore understandable, we impose a weakened H$\ddot{\rm {o}}$ldercondition and a weakened linear growth condition. Furthermore, wegive some properties of the solutions to the stochasticdifferential equations.
권언근 충청수학회 2018 충청수학회지 Vol.31 No.3
We present a new and simple proof of improved Carleson's inequality.
New Generalizations of Ostrowski-Like Type Inequalities for Fractional Integrals
Yildiz, Cetin,Ozdemir, Muhamet Emin,Sarikaya, Mehmet Zeki Department of Mathematics 2016 Kyungpook mathematical journal Vol.56 No.1
In this paper, we use the Riemann-Liouville fractional integrals to establish several new inequalities for some differantiable mappings that are connected with the celebrated Ostrowski type integral inequality.
On a Reverse of the Slightly Sharper Hilbert-type Inequality
Zhong, Jianhua Department of Mathematics 2009 Kyungpook mathematical journal Vol.49 No.4
In this paper, by introducing parameters ${\lambda}$, ${\alpha}$and two pairs of conjugate exponents (p, q), (r, s) and applying the improved Euler-Maclaurin's summation formula, we establish a reverse of the slightly sharper Hilbert-type inequality. As applications, the strengthened version and the equivalent form are given.
A NOTE ON OSTROWSKI TYPE INEQUALITIES RELATED TO SOME s-CONVEX FUNCTIONS IN THE SECOND SENSE
Zheng Liu 대한수학회 2012 대한수학회보 Vol.49 No.4
Some errors in literatures are pointed out and corrected. A generalization of Ostrowski type inequalities for functions whose derivatives in absolute value are s-convex in the second sense is established. Special cases are discussed. Some errors in literatures are pointed out and corrected. A generalization of Ostrowski type inequalities for functions whose derivatives in absolute value are s-convex in the second sense is established. Special cases are discussed.