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LP−TYPE INEQUALITIES FOR DERIVATIVE OF A POLYNOMIAL
Irfan Ahmad Wani,Mohammad Ibrahim Mir,Ishfaq Nazir 강원경기수학회 2021 한국수학논문집 Vol.29 No.4
For the polynomial $P(z)$ of degree $n$ and having all its zeros in $|z| \leq k$, $k \geq 1$, Jain \cite{j} proved that \begin{align*} \max_{|z|=1} |P^{\prime}(z)|\geq n \frac{|c_0| + |c_n|k^{n+1}}{|c_0|(1+k^{n+1}) + |c_n| ( k^{n+1} + k^{2n})} \max_{|z|=1}|P(z)| . \end{align*} In this paper, we extend above inequality to its integral analogous and there by obtain more results which extended the already proved results to integral analogous.
Irfan, Muhammad,Jeong, Dahye,Kwon, Hyuk-Woo,Shin, Jung-Hae,Park, Sang-Joon,Kwak, Dongmi,Kim, Tae-Hwan,Lee, Dong-Ha,Park, Hwa-Jin,Rhee, Man Hee Elsevier 2018 Vascular pharmacology Vol.109 No.-
<P><B>Abstract</B></P> <P><B>Background & purpose</B></P> <P>Ginseng (<I>Panax ginseng</I> C.A. Mayer) contains saponin fractions called ginsenosides, which are thought to be the main components responsible for its various pharmacological activities. Ginsenosides have cardioprotective and antiplatelet effects. In the present study, we evaluated the effects of ginsenoside Rp3 (G-Rp3) on platelet function.</P> <P><B>Methods</B></P> <P>The <I>in vitro</I> effects of G-Rp3 were evaluated on agonist-induced human and rat platelet aggregation, while [Ca<SUP>2+</SUP>]<SUB> <I>i</I> </SUB> mobilization, granule secretion, integrin α<SUB>IIb</SUB>β<SUB>3</SUB> activation, and clot retraction were assessed in rat platelets. Its effects on vasodilator-stimulated phosphoprotein (VASP) expression, phosphorylation of MAPK signaling molecules, and PI3K/Akt activation were also studied. Moreover, the tyrosine phosphorylation of components of the P<SUB>2</SUB>Y<SUB>12</SUB> receptor downstream signaling pathway was also examined. The <I>in vivo</I> effects of G-Rp3 were studied using an acute pulmonary thromboembolism model and lung histopathology.</P> <P><B>Key results</B></P> <P>G-Rp3 significantly inhibited collagen, ADP, and thrombin-induced platelet aggregation. G-Rp3 elevated cAMP levels and VASP phosphorylation and suppressed agonist-induced [Ca<SUP>2+</SUP>]<SUB> <I>i</I> </SUB> mobilization, ATP release, and P-selectin expression along with fibrinogen binding to integrin α<SUB>IIb</SUB>β<SUB>3</SUB>, fibronectin adhesion, and clot retraction. G-Rp3 also attenuated the phosphorylation of MAPK, Src, and PLCγ2 as well as PI3K/Akt activation. Furthermore, it inhibited tyrosine phosphorylation of the Src family kinases (Src, Fyn, and Lyn) and PLCγ2 and protected mice from thrombosis.</P> <P><B>Conclusion and implication</B></P> <P>G-Rp3 modulates agonist-induced platelet activation and thrombus formation by inhibiting granule secretion, integrin α<SUB>IIb</SUB>β<SUB>3</SUB> activation, MAPK signaling, and Src, PLCγ2, and PI3K/Akt activation, and VASP stimulation. Our data suggest that G-Rp3 has therapeutic potential as a treatment for platelet-related cardiovascular disorders.</P> <P><B>Graphical abstract</B></P> <P>[DISPLAY OMISSION]</P>
Irfan Coskun 국제구조공학회 2010 Structural Engineering and Mechanics, An Int'l Jou Vol.34 No.3
The dynamic response of a finite Bernoulli-Euler beam resting on a tensionless Pasternak foundation and subjected to a concentrated harmonic load is investigated in this study. This load may be applied at the center of the beam, or it may be offset from the center. Since the elastic foundation is assumed to be tensionless, the beam may lift off the foundation, resulting in contact and non-contact regions in the system. An analytical/numerical solution is obtained from the governing equations of the contact and non-contact regions to determine the coordinates of the lift-off points. Although there is no nonlinear term in the equations, the problem appears to be nonlinear since the contact regions are not known in advance. Due to that nonlinearity, the essentials of the problem (the coordinates of the lift-off points) are calculated numerically using the Newton-Raphson technique. The results, which represent the symmetric and asymmetric responses of the beam, are presented graphically in this work. They illustrate the effects of the forcing frequency and the beam length on the extent of the contact regions and displacements.
Irfan, Mohammad Sameer,Ahmed, Ashraf,Park, Joung-Hu,Seo, Chulhun Institute of Electrical and Electronics Engineers 2017 IEEE transactions on power electronics Vol. No.
<P>In this paper, a novel DHB power-decoupling control scheme without current sensor is proposed for single-phase inverters. As electrolyte capacitors are conventionally used; however, these capacitors limit ripple current capability and circuit reliability. Film capacitors improve the ripple current capability, size reduction, and circuit reliability. Conventionally, non-isolated topologies are used for power decoupling. The volume of the decoupling capacitor per unit energy in isolated bidirectional power decoupling topologies is reduced as compared to nonisolated due to unrestricted voltage across the decoupling capacitor. Voltage-fed Phase-Shift Dual Half-Bridge (DHB) is preferred with film capacitors as it has the least number of components in isolated bidirectional topologies. However, in DHB, power decoupling controller is a challenge as current control is conventionally required. The challenge has been overcome with novel current-sensorless dc link ripple rejection control. The controller has the advantage of current-sensorless configuration especially when it needs information from inverter phase-lock-loop (PLL). The proposed power decoupling control scheme is independent of the inverter control and universal. A new dynamic analysis has been carried out by taking into account the input-voltage dynamics. The advantage of the DHB is that it has single pole behavior and, hence, sufficient bandwidth can be obtained. Simulations and experiments have been performed to verify the analysis of the power decoupling control scheme and the capability of film-capacitor DHB for power decoupling.</P>