Sandor Type Fuzzy Inequality Based on the (s,m)-Convex Function in the Second Sense

Ren, Haiping; Wang, Guofu; Luo, Laijun

doi:10.3390/sym9090181

Cited by 2 publications

(3 citation statements)

References 30 publications

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“…It is denoted by K 2 s,m , the set of all (s, m)-convex functions in the second sense. Now we give the Lemma proved in [20] Lemma 2.1. [20] Let x ∈ [0, 1], then the inequality…”

Section: Preliminarymentioning

confidence: 99%

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Hadamard type fuzzy inequality for (s,m)-convex function in second sense

Pachpatte,

Shinde

2018

Preprint

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“…It is denoted by K 2 s,m , the set of all (s, m)-convex functions in the second sense. Now we give the Lemma proved in [20] Lemma 2.1. [20] Let x ∈ [0, 1], then the inequality…”

Section: Preliminarymentioning

confidence: 99%

“…[5], [6]. Since many authors have studied the different types of integral inequalities for fuzzy integral see [1]- [5], [20,22,23].…”

Section: Introductionmentioning

confidence: 99%

Hadamard type fuzzy inequality for (s,m)-convex function in second sense

Pachpatte,

Shinde

2018

Preprint

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“…AuNPs have unique optical properties, such as localized surface plasmon resonance (LSPR) absorption [27,28], resonance light scattering (RLS) [29]. These properties make AuNPs ideal for fast assay of a variety of substances including small molecules, biomacromolecules, and even microbes [30][31][32][33][34].…”

Section: Aunps-based Optical Biosensorsmentioning

confidence: 99%

Gold nanoparticle-based biosensors for the assay of tumor marker proteins with clinical applications

Ma¹,

Hu²,

Tao³

et al. 2017

Adv. Mater. Lett.

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The detection of tumor markers plays an important role in clinical diagnosis and evaluation of therapeutic effect. Early detection of tumor markers, which are usually proteins, can greatly facilitate effective treatment with different modalities and even increase cure rate of patients. Currently, nanoparticle-based methods for cancer diagnostics are becoming an increasingly relevant alternative to traditional techniques. Gold nanoparticles (AuNPs) are one of the most extensively studied nanomaterials due to their remarkable physical and chemical properties. With the recent advances in nanotechnology, AuNPs have offered new ways to detect tumor markers at low concentrations and to target cancer cells in very deep sites. The use of AuNPs may increase the sensitivity of a biosensor and generate higher accuracy and precision of the assays. So, AuNPs have greatly facilitated the development of nanomaterials-based technology for clinic diagnostics and therapy. In this review paper, we have summarized different kinds of AuNPs-based biosensors for the detection of tumor marker proteins with a particular focus on optical and electrochemical techniques, which may provide valuable perspective for the colleagues in the related communities.

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Sandor Type Fuzzy Inequality Based on the (s,m)-Convex Function in the Second Sense

Cited by 2 publications

References 30 publications

Hadamard type fuzzy inequality for (s,m)-convex function in second sense

Hadamard type fuzzy inequality for (s,m)-convex function in second sense

Gold nanoparticle-based biosensors for the assay of tumor marker proteins with clinical applications

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