• 충청수학회지
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• 제15권2호
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• pp.73-84
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• 2003

In this paper, we investigate the new quadratic type functional equation f(2x + y) - f(x + 2y) = 3f(x) - 3f(y) and prove the stablility of this equation in the spirit of Hyers, Ulam, Rassias and G$\breve{a}$vruţa.

• 해양환경안전학회:학술대회논문집
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• 해양환경안전학회 2018년도 공동국제학술발표회
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• pp.57-57
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• 2018

• Journal of applied mathematics & informatics
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• 제10권1_2호
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• pp.283-295
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• 2002

In this Paper we show the Solution of the following Jensen functional equation with three variables and prove the stability of this equations in the spirit of Hyers, Ulam, Rassias and Gavruta: (equation omitted).

• 품질경영학회지
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• 제21권2호
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• pp.27-34
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• 1993

Quality Assurance Method of Defense Logistics Agency, U. S. A., was changed from Contract Quality Assurance Program to In-Plant Quality Evaluation in May, 1990. IQUE focuses on working with contractor in spirit of team work to measure and continuously improve processes and resulting product quality. The goals are to achieve customer satisfaction, improved product quality, and a reduction in the costs of items and ownership. It is suggested to adopt and apply the IQUE method to the effective accomplishment of Korean aircraft projects.

• 대한수학회보
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• 제42권1호
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• pp.57-73
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• 2005

In this paper we solve a generalized quadratic Jensen type functional equation $m^2 f (\frac{x+y+z}{m}) + f(x) + f(y) + f(z) =n^2 [f(\frac{x+y}{n}) +f(\frac{y+z}{n}) +f(\frac{z+x}{n})]$ and prove the stability of this equation in the spirit of Hyers, Ulam, Rassias, and Gavruta.

• 한국수학사학회지
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• 제16권3호
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• pp.77-88
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• 2003

In this paper, we consider relationship of the monastic mathematics and the arts of the middle ages. Because mathematics and arts are effects of the spirit of the ages. Here, we concern with the Rome and the religion of Christ. Next, we think of the bible and Christian doctrine and then compare with Christian arts and arts of the customs of the middle ages. The middle ages is the period of women's inequality according to the feudal system. So we investigate the correlation of the christianity, arts of the middle ages, women's inequality and monastic mathematics which is worthless in mathematics history.

• 대한수학회지
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• 제32권4호
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• pp.697-712
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• 1995

In the present article we consider multiparameter maximal averages and discover the crucial roles played by the number of parameters in their boundedness properties. The problem we shall deal with is initiated by Rubio de Francia [8] and will be in the spirit of an inductive extension to multiparameter cases, in which tools of our study rely on the theory of Harmonic Analysis on product spaces. Suppose that $d_\mu$ is a complex Borel measure supported on a compact subset S of $R^N$ having total mass one, $\smallint_S d_\mu = 1$.

• 대한수학회보
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• 제40권2호
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• pp.253-267
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• 2003

In this paper we deal With the quadratic functional equation (equation omitted) deriving from an inequality of T. Popoviciu for convex functions. We solve this functional equation by proving that its solutions we the polynomials of degree at most two. Likewise, we investigate its stability in the spirit of Hyers, Ulam, and Rassias.

• Korean Journal of Mathematics
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• 제16권2호
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• pp.205-214
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• 2008

In this paper, we prove the generalized Hyers-Ulam stability of a Cauchy-Jensen functional equation $2f(x+y,\frac{z+w}{2})=f(x,z)+f(x,w)+f(y,z)+f(y,w)$ in the spirit of $P.G{\breve{a}}vruta$.

• 호남수학학술지
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• 제29권1호
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• pp.61-74
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• 2007

Th. M. Rassias obtained the Hyers-Ulam stability of the general Euler-Lagrange functional equation. In this paper we prove the stability of generlized Euler-Lagrange functional equations in the spirit of Hyers, Ulam, Rassias and G$\breve{a}$vruta.