Results 51 to 60 of about 343,821 (333)

Ostrowski type inequalities in the sense of generalized $\mathcal{K}$-fractional integral operator for exponentially convex functions

open access: yesAIMS Mathematics, 2020
The investigation of the proposed methods is effective and convenient for solving the integrodifferential and difference equations. In this note, we introduce the generalized $\mathcal{K}$-fractional integral in terms of a new parameter $\mathcal{K}>0 ...
S. Rashid, M. Noor, K. Noor, Y. Chu
semanticscholar   +1 more source

Generalized (p,q)-analogues of Dragomir-Agarwal's inequalities involving Raina's function and applications

open access: yesAIMS Mathematics, 2022
In this paper, we introduce the class of generalized strongly convex functions using Raina's function. We derive two new general auxiliary results involving first and second order (p,q)-differentiable functions and Raina's function.
Miguel Vivas-Cortez   +4 more
doaj   +1 more source

Fractional generalized Hadamard and Fejér-Hadamard inequalities for m-convex functions

open access: yesAIMS Mathematics, 2020
The objective of this paper is to present the fractional Hadamard and Fejer-Hadamard inequalities in generalized forms. By employing a generalized fractional integral operator containing extended generalized Mittag-Leffler function involving a monotone ...
Xiu-li Yang   +5 more
semanticscholar   +1 more source

Smoothness Properties of Generalized Convex Functions [PDF]

open access: yesProceedings of the American Mathematical Society, 1976
We present a concise and elementary proof of a theorem of Karlin and Studden concerning the smoothness properties of functions belonging to a generalized convexity cone.
openaire   +1 more source

On new generalized unified bounds via generalized exponentially harmonically s-convex functions on fractal sets

open access: yesAdvances in Difference Equations, 2021
The visual beauty reflects the practicability and superiority of design dependent on the fractal theory. Based on the applicability in practice, it shows that it is the completely feasible, self-comparability and multifaceted nature of fractal sets that ...
Yu-Ming Chu   +4 more
doaj   +1 more source

Hermite–Hadamard-type inequalities for the interval-valued approximately h-convex functions via generalized fractional integrals

open access: yesJournal of Inequalities and Applications, 2020
In this paper, we present a new definition of interval-valued convex functions depending on the given function which is called “interval-valued approximately h-convex functions”. We establish some inequalities of Hermite–Hadamard type for a newly defined
Dafang Zhao   +4 more
semanticscholar   +1 more source

Insights Into the Antigenic Repertoire of Unclassified Synaptic Antibodies

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective We sought to characterize the sixth most common finding in our neuroimmunological laboratory practice (tissue assay‐observed unclassified neural antibodies [UNAs]), combining protein microarray and phage immunoprecipitation sequencing (PhIP‐Seq). Methods Patient specimens (258; 133 serums; 125 CSF) meeting UNA criteria were profiled;
Michael Gilligan   +22 more
wiley   +1 more source

Integral Inequalities via Generalized Geometrically r-Convex Functions

open access: yesInternational Journal of Analysis and Applications, 2018
In this paper, we introduce and investigate a new class of generalized convex functions, called generalized geometrically r-convex functions. Some new Hermite-Hadamard integral inequalities via generalized geometrically r-convex functions have been ...
Muhammad Aslam Noor   +2 more
doaj   +2 more sources

On Certain Properties for Two Classes of Generalized Convex Functions

open access: yes, 2016
Two classes of generalized convex functions in the sense of Beckenbach are considered. For both classes, we show that the existence of support curves implies their generalized convexity and obtain an extremum property of these functions.
Mohamed S. S. Ali
semanticscholar   +1 more source

Meningovascular Inflammation in Cerebral Amyloid Angiopathy‐Related Cortical Superficial Siderosis

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT The role of inflammation in cortical superficial siderosis (cSS), a marker of cerebral amyloid angiopathy (CAA) linked to high hemorrhage risk, is unclear. We examined 15 patients with cSS using 3 T post‐contrast vessel wall MRI (VWI) and CSF analysis.
Philipp Arndt   +8 more
wiley   +1 more source

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