• 호남수학학술지
• /
• 제42권2호
• /
• pp.301-318
• /
• 2020

In this paper, we introduce and study the concept of hyperbolic type convexity functions and their some algebraic properties. We obtain Hermite-Hadamard type inequalities for this class of functions. In addition, we obtain some refinements of the Hermite-Hadamard inequality for functions whose first derivative in absolute value, raised to a certain power which is greater than one, respectively at least one, is hyperbolic convexity. Moreover, we compare the results obtained with both Hölder, Hölder-İşcan inequalities and power-mean, improved-power-mean integral inequalities.

• Kyungpook Mathematical Journal
• /
• 제46권1호
• /
• pp.19-29
• /
• 2006

In this paper, we obtain some inequalities similar to Hilbert type. Some new inequalities are also given.

• Kyungpook Mathematical Journal
• /
• 제52권3호
• /
• pp.291-298
• /
• 2012

In this paper, by estimating the weight function, we give a new Hilbert-type inequality with the integral in whole plane. As its applications, we consider the equivalent and a particular result.

• Kyungpook Mathematical Journal
• /
• 제50권2호
• /
• pp.307-314
• /
• 2010

By introducing a homogeneous kernel of 0-degree with an independent parameter and estimating the weight coefficient, a bilateral form of the Hilbert-type series inequality with a best constant factor is established.

• Kyungpook Mathematical Journal
• /
• 제47권3호
• /
• pp.411-423
• /
• 2007

This paper deals with a reverse Hardy-Hilbert's inequality with a best constant factor by introducing two parameters ${\lambda}$ and ${\alpha}$. We also consider the equivalent form and the analogue integral inequalities. Some particular results are given.

• Kyungpook Mathematical Journal
• /
• 제49권2호
• /
• pp.393-401
• /
• 2009

By introducing a parameter and estimating the weight coefficient, we obtain a new Hilbert-type integral inequality with a composite kernel and a best constant factor. As applications, we also consider its equivalent forms and reverse forms.

• 대한전자공학회논문지SP
• /
• 제45권6호
• /
• pp.57-63
• /
• 2008

본 논문에서는 웨이블릿 영역에서 이변수 가우스 확률밀도함수를 이용하여 잡음을 효과적으로 제거하는 방법을 제안한다. 본 논문의 방법은 웨이블릿 영역의 스케일간의 관계에 대한 통계적 모델을 이변수 가우스 확률분포로 설정하고, 이에 대한 베이즈 추정법을 통하여 잡음 제거를 수행한다. 베이즈 추정법을 위한 통계 파라메터는 $H{\ddot{o}}lder$ 부등식을 이용하여 근사적으로 추정한다. 실험 결과를 통하여 본 논문의 방법이 기존의 이변수 사전 확률모델을 이용한 잡음 제거 방법에 비하여 우수한 결과를 보여 준다는 것을 알 수 있다.

• Kyungpook Mathematical Journal
• /
• 제48권1호
• /
• pp.93-100
• /
• 2008

In this paper, by introducing some parameters and estimating the weight function, we give a new Hilbert-type integral inequality with a best constant factor. The equivalent inequality and the reverse forms are considered.

• 대한수학회보
• /
• 제46권1호
• /
• pp.125-134
• /
• 2009

In the present paper, we give several discrete results for the open problem posed in the article [Feng Qi, Several integral inequalities, J. Inequal. Pure and Appl. Math. 1(2000), no. 2, Art. 19].

• Journal of applied mathematics & informatics
• /
• 제38권5_6호
• /
• pp.483-487
• /
• 2020

In this paper, we have proved a new theorem dealing with 𝜑 - |C, 𝛼|_k summability factors of infinite series under weaker conditions. Also, some new and known results are obtained.