• Nonlinear Functional Analysis and Applications
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• v.29 no.1
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• pp.47-56
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• 2024

It is well known that inequalities enable us to analyze and solve complex problems with precision and efficiency. The inequalities provide powerful tools for establishing bounds, optimizing solutions, and deepening our understanding of mathematical concepts, paving the way for advancements in areas such as optimization, analysis, and probability theory. In this paper, we present some properties for Hadamard-Simpsons type inequalities in the classic integral and Riemann-Liouville fractional integral. We use the convexity of the given function and its first derivative.

• Communications of the Korean Mathematical Society
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• v.33 no.4
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• pp.1205-1215
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• 2018

In this paper, a boundary version of the $Carath{\acute{e}}odory^{\prime}s$ inequality is investigated. We shall give an estimate below ${\mid}f^{\prime}(b){\mid}$ according to the first nonzero Taylor coefficient of about two zeros, namely z = 0 and $z_1{\neq}0$. The sharpness of these estimates is also proved.

• Communications of the Korean Mathematical Society
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• v.21 no.2
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• pp.397-407
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• 2006

We construct polynomial-fitting interpolation rules to agree with a function f and its first derivative f' at equally spaced nodes on the interval of interest by introducing a linear functional with which we produce systems of linear equations. We also introduce a matrix whose determinant is not zero. Such a property makes it possible to solve the linear systems and then leads to a conclusion that the rules are uniquely determined for the nodes. An example is investigated to compare the rules with Hermite interpolating polynomials.

• Bulletin of the Korean Mathematical Society
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• v.56 no.6
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• pp.1423-1433
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• 2019

Here we present the right and left Riemann-Liouville fractional fundamental theorems of fractional calculus without any initial conditions for the first time. Then we establish a Riemann-Liouville fractional Polya type integral inequality with the help of generalised right and left Riemann-Liouville fractional derivatives. The amazing fact here is that we do not need any boundary conditions as the classical Polya integral inequality requires. We extend our Polya inequality to Choquet integral setting.

• Honam Mathematical Journal
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• v.38 no.2
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• pp.325-335
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• 2016

In the present paper, we define the generalized extended Whittaker function in terms of generalized extended conflent hypergeometric function of the first kind. We also study its integral representation, some integral transforms and its derivative.

• Biomolecules & Therapeutics
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• v.5 no.2
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• pp.107-109
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• 1997

For metabolic study of pinusolide, a naturally occurring platelet activating factor antagonist, a synthetic method for preparation of radiolabeled pinusolide was studied. Pinusolide was first oxidized with $OsO_4/NaIO_4 $to 17-nor-8-oxo compound (2), which was subsequently converted to pinusolide by treatment with the Lombardo reagent $(Zn/CH_2Br_2/TiCI_4)$. The Wittily reaction was unsuccessful in the latter carbonyl methylenation of 2.

• 한국정보디스플레이학회:학술대회논문집
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• 2008.10a
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• pp.1477-1479
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• 2008

We report the first TTF compounds having columnar LC phase at room temperature. Based on the thermal, structural, and morphological observations, it was concluded that TTF derivative with long alkyl chains has highly ordered oblique columnar LC at room temperature. The new TTF derivatives have excellent oxidative stability which is desirable for a p-type (hole transport) materials.

• Honam Mathematical Journal
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• v.44 no.3
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• pp.325-338
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• 2022

In this paper, a new identity is given. On the basis of this identity, we establish some new estimates of Milne's quadrature rule, for functions whose first derivative is s-convex. We discuss the cases where the derivatives are bounded as well as Lipschitzian. Some illustrative applications are given.

• Journal of Plant Biotechnology
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• v.49 no.3
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• pp.250-256
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• 2022

This study was conducted to measure changes in polyphenol components and antioxidant effects of Cirsium Lineare (Thunb.) after fermentation by lactic acid bacteria. First, Cirsium Lineare (Thunb.) extract (CE, unfermented) and Cirsium Lineare (Thunb.) extract fermented with Lactobacillus paracasei (FCE) were prepared. Changes in components resulting from fermentation were confirmed through changes in polyphenol compound content and silymarin derivative pattern, and antioxidant activity was confirmed using 1,1-diphenyl-2-picrylhydrazyl (DPPH) radical scavenging activity, 2,2'azino-bis(3-ethylbenzthiazoline-6-sulfonic acid) (ABTS) radical scavenging activity, and ferric reducing antioxidant power (FRAP) analyses. As a result, polyphenol contents of CE and FCE were confirmed as 21.94 ± 1.15 and 67.90 ± 4.48 mg GAE/g, respectively. Both values were increased approximately three times by fermentation, and there was also a change in the silymarin derivative pattern. In the case of DPPH radical RC₅₀ values in particular, CE and FCE were confirmed to inhibit DPPH radicals by 50% at concentrations of 129.44 ± 5.85 and 50.00 ± 3.47 ㎍/mL, respectively, with the FCE value approximately 2.5 times lower than that of CE. In addition, ABTS radical scavenging and FRAP activity were confirmed to share similar trends as DPPH radical scavenging activity. When CE and FCE were compared, FCE showed a better antioxidant effect overall. In conclusion, this study suggested that FCE prepared through lactic acid bacteria fermentation may be utilized as a powerful antioxidant material.

• Proceedings of the Korean Institute of Communication Sciences Conference
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• 2004.07a
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• pp.437-437
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• 2004