Results 41 to 50 of about 196 (170)

Fejér and Hermite-Hadamard Type Inequalities for Harmonically Convex Functions

open access: yesJournal of Applied Mathematics, 2014
We establish a Fejér type inequality for harmonically convex functions. Our results are the generalizations of some known results. Moreover, some properties of the mappings in connection with Hermite-Hadamard and Fejér type inequalities for harmonically ...
Feixiang Chen, Shanhe Wu
doaj   +1 more source

On Harmonically (p,h,m)-Preinvex Functions

open access: yesJournal of Function Spaces, 2017
We define a new generalized class of harmonically preinvex functions named harmonically (p,h,m)-preinvex functions, which includes harmonic (p,h)-preinvex functions, harmonic p-preinvex functions, harmonic h-preinvex functions, and m-convex functions as ...
Shan-He Wu   +2 more
doaj   +1 more source

Hadamard and Fejér–Hadamard Inequalities for Further Generalized Fractional Integrals Involving Mittag-Leffler Functions

open access: yesJournal of Mathematics, 2021
In this paper, generalized versions of Hadamard and Fejér–Hadamard type fractional integral inequalities are obtained. By using generalized fractional integrals containing Mittag-Leffler functions, some well-known results for convex and harmonically ...
M. Yussouf   +3 more
doaj   +1 more source

On convexity of level sets of p -harmonic functions

open access: yesJournal of Differential Equations, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Ting, Zhang, Wei
openaire   +2 more sources

Characterizations of Classes of Harmonic Convex Functions and Applications

open access: yesInternational Journal of Analysis and Applications, 2019
Summary: In this paper, we consider classes of harmonic convex functions and give their special characterizations. Furthermore, we consider Hermite Hadamard type inequalities related to these classes to give some non-numeric estimates of well-known definite integrals.
Baloch, Imran Abbas   +2 more
openaire   +6 more sources

New fractional approaches for n-polynomial P-convexity with applications in special function theory

open access: yesAdvances in Difference Equations, 2020
Inequality theory provides a significant mechanism for managing symmetrical aspects in real-life circumstances. The renowned distinguishing feature of integral inequalities and fractional calculus has a solid possibility to regulate continuous issues ...
Shu-Bo Chen   +4 more
doaj   +1 more source

The Properties of Harmonically cr-h-Convex Function and Its Applications

open access: yesMathematics, 2022
In this paper, the definition of the harmonically cr-h-convex function is given, and its important properties are discussed. Jensen type inequality, Hermite–Hadamard type inequalities and Fejér type inequalities for harmonically cr-h-convex functions are
Wei Liu   +3 more
doaj   +1 more source

End‐to‐End Sensing Systems for Breast Cancer: From Wearables for Early Detection to Lab‐Based Diagnosis Chips

open access: yesAdvanced Materials Technologies, EarlyView.
This review explores advances in wearable and lab‐on‐chip technologies for breast cancer detection. Covering tactile, thermal, ultrasound, microwave, electrical impedance tomography, electrochemical, microelectromechanical, and optical systems, it highlights innovations in flexible electronics, nanomaterials, and machine learning.
Neshika Wijewardhane   +4 more
wiley   +1 more source

New Fractional Hermite–Hadamard–Mercer Inequalities for Harmonically Convex Function

open access: yesJournal of Function Spaces, 2021
In 2003, Mercer presented an interesting variation of Jensen’s inequality called Jensen–Mercer inequality for convex function. In the present paper, by employing harmonically convex function, we introduce analogous versions of Hermite–Hadamard ...
Saad Ihsan Butt   +4 more
doaj   +1 more source

Solid Harmonic Wavelet Bispectrum for Image Analysis

open access: yesAdvanced Science, EarlyView.
The Solid Harmonic Wavelet Bispectrum (SHWB), a rotation‐ and translation‐invariant descriptor that captures higher‐order (phase) correlations in signals, is introduced. Combining wavelet scattering, bispectral analysis, and group theory, SHWB achieves interpretable, data‐efficient representations and demonstrates competitive performance across texture,
Alex Brown   +3 more
wiley   +1 more source

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