341 research outputs found
Hermite-Hadamard type inequalities for harmonically (alpha, m)-convex functions
No full textiscan, imdat/0000-0001-6749-0591WOS: 000379032300008The author introduces the concept of harmonically (alpha, m)-convex functions and establishes some Hermite-Hadamard type inequalities of these classes of functions
HERMITE-HADAMARD TYPE INEQUALITIES FOR HARMONICALLY CONVEX FUNCTIONS
No full textiscan, imdat/0000-0001-6749-0591WOS: 000348691000005The author introduces the concept of harmonically convex functions and establishes some Hermite-Hadamard type inequalities of these classes of functions
Some Ostrowski Type Inequalities for Harmonically (s,m)-Convex Functions in Second Sense
No full textiscan, imdat/0000-0001-6749-0591WOS: 000215263400005The authors introduce the concept of harmonically (s,m)-convex functions in second sense and establish some Ostrowski type inequalities of these classes of functions
SOME HERMITE-HADAMARD TYPE INTEGRAL INEQUALITIES FOR HARMONICALLY (p, (s, m))-CONVEX FUNCTIONS
No full textiscan, imdat/0000-0001-6749-0591WOS: 000416773700007In this article, we introduce the class of harmonically p-convex functions which is generalization of convex and harmonically convex functions. Next, we define Harmonically p-quasiconvex functions and Harmonically Logarithmic p-convex functions. We also introduce and consider the class of harmonically (p, (s, m))-convex functions which is generalization of harmonically (s, m)-convex and harmonically p-convex functions. Finally, we establish Hermite-Hadamard type inequalities for these classes of functions. Results proved in this paper may stimulate further research in this area
New general integral inequalities for quasi-geometrically convex functions via fractional integrals
No full textiscan, imdat/0000-0001-6749-0591WOS: 000332038400037In this paper, the author introduces the concept of the quasi-geometrically convex functions, gives Hermite-Hadamard's inequalities for GA-convex functions in fractional integral forms and defines a new identity for fractional integrals. By using this identity, the author obtains new estimates on generalization of Hadamard et al. type inequalities for quasi-geometrically convex functions via Hadamard fractional integrals
FEJER TYPE INEQUALITIES FOR HARMONICALLY (s, m)-CONVEX FUNCTIONS
No full textiscan, imdat/0000-0001-6749-0591;WOS: 000388622400010In this paper, a new weighted identity involving harmonically symmetric functions and differentiable functions is established. By using the notion of harmonic symmetricity, harmonic (s, m)-convexity, analysis and some auxiliary results, some new Fejer type integral inequalities are presented for the class of harmonically (s, m)-convex functions.Higher Education Commission of PakistanHigher Education Commission of PakistanThis research article is partially supported by Higher Education Commission of Pakistan
A survey of bacterial insertion sequences using IScan
No full textBacterial insertion sequences (ISs) are the simplest kinds of bacterial mobile DNA. Evolutionary studies need consistent IS annotation across many different genomes. We have developed an open-source software package, IScan, to identify bacterial ISs and their sequence elements—inverted and target direct repeats—in multiple genomes using multiple flexible search parameters. We applied IScan to 438 completely sequenced bacterial genomes and 20 IS families. The resulting data show that ISs within a genome are extremely similar, with a mean synonymous divergence of Ks = 0.033. Our analysis substantially extends previously available information, and suggests that most ISs have entered bacterial genomes recently. By implication, their population persistence may depend on horizontal transfer. We also used IScan's ability to analyze the statistical significance of sequence similarity among many IS inverted repeats. Although the inverted repeats of insertion sequences are evolutionarily highly flexible parts of ISs, we show that this ability can be used to enrich a dataset for ISs that are likely to be functional. Applied to the thousands of genomes that will soon be available, IScan could be used for many purposes, such as mapping the evolutionary history and horizontal transfer patterns of different IS
Some Integral Inequalities For the New Convex Functions
No full textiscan, imdat/0000-0001-6749-0591WOS: 000454272000004In this study, we obtained the Hermite-Hadamard integral inequality for M phi A-P-function. Then we gave a new identity for M phi A-P-function and using these identity, we obtained the theorems and the results
iSCAN-V2: A One-Pot RT-RPA–CRISPR/Cas12b Assay for Point-of-Care SARS-CoV-2 Detection
No full textRapid, specific, and sensitive detection platforms are prerequisites for early pathogen detection to efficiently contain and control the spread of contagious diseases. Robust and portable point-of-care (POC) methods are indispensable for mass screening of SARS-CoV-2. Clustered regularly interspaced short palindromic repeats (CRISPR)/CRISPR-associated protein (Cas)-based nucleic acid detection technologies coupled with isothermal amplification methods provide a straightforward and easy-to-handle platform for detecting SARS-CoV-2 at POC, low-resource settings. Recently, we developed iSCAN, a two-pot system based on coupled loop-mediated isothermal amplification (LAMP) and CRISPR/Cas12a reactions. However, in two-pot systems, the tubes must be opened to conduct both reactions; two-pot systems thus have higher inherent risks of cross-contamination and a more cumbersome workflow. In this study, we developed and optimized iSCAN-V2, a one-pot reverse transcription-recombinase polymerase amplification (RT-RPA)-coupled CRISPR/Cas12b-based assay for SARS-CoV-2 detection, at a single temperature in less than an hour. Compared to Cas12a, Cas12b worked more efficiently in the iSCAN-V2 detection platform. We assessed and determined the critical factors, and present detailed guidelines and considerations for developing and establishing a one-pot assay. Clinical validation of our iSCAN-V2 detection module with reverse transcription-quantitative PCR (RT-qPCR) on patient samples showed 93.75% sensitivity and 100% specificity. Furthermore, we coupled our assay with a low-cost, commercially available fluorescence visualizer to enable its in-field deployment and use for SARS-CoV-2 detection. Taken together, our optimized iSCAN-V2 detection platform displays critical features of a POC molecular diagnostic device to enable mass-scale screening of SARS-CoV-2 in low-resource settings.This work was supported by Smart Health Initiative at KAUST and the IAF and NTGC grants (REI/1/4586-01-01) from KAUST IED to M
On new general integral inequalities for s-convex functions
No full textiscan, imdat/0000-0001-6749-0591; SET, ERHAN/0000-0003-1364-5396WOS: 000344473300028In this paper, the authors establish some new estimates for the remainder term of the midpoint, trapezoid, and Simpson formula using functions whose derivatives in absolute value at certain power are s-convex. Some applications to special means of real numbers are provided as well. (C) 2014 Elsevier Inc. All rights reserved
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