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AIMS Mathematics
Article . 2021 . Peer-reviewed
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AIMS Mathematics
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AIMS Mathematics
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https://dx.doi.org/10.60692/vm...
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Other literature type . 2021
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New Hermite-Hadamard inequalities in fuzzy-interval fractional calculus via exponentially convex fuzzy interval-valued function

متباينات هيرميت- هادامارد الجديدة في حساب التفاضل والتكامل الكسري الفاصل الغامض عبر دالة محدبة أسيًا ذات قيمة فاصلة ضبابية
Authors: Yanping Yang; Muhammad Shoaib Saleem; Waqas Nazeer; Ahsan Fareed Shah;

New Hermite-Hadamard inequalities in fuzzy-interval fractional calculus via exponentially convex fuzzy interval-valued function

Abstract

<abstract><p>In the present note, we develop Hermite-Hadamard type inequality and He's inequality for exponential type convex fuzzy interval-valued functions via fuzzy Riemann-Liouville fractional integral and fuzzy He's fractional integral. Moreover, we establish Hermite-Fejér inequality via fuzzy Riemann-Liouville fractional integral.</p></abstract>

Keywords

He's fuzzy fractional derivative, Statistics and Probability, Artificial intelligence, Interval (graph theory), hermite-hadamard fejér type inequality, exponential type convex fuzzy interval-valued function, Geometry, Fuzzy Differential Equations and Uncertainty Modeling, exponential type convex function, Matrix Inequalities and Geometric Means, Mathematical analysis, Convexity of real functions in one variable, generalizations, Fractional Integrals, Hermite-Hadamard Fejér type inequality, Interval-Valued Functions, Convex function, Fractional derivatives and integrals, QA1-939, FOS: Mathematics, Anomalous Diffusion Modeling and Analysis, Hadamard transform, convex function, Hermite polynomials, Applied Mathematics, Fuzzy real analysis, Pure mathematics, he's fuzzy fractional derivative, fuzzy fractional integral operator, Hermite-Hadamard type inequality, hermite-hadamard type inequality, Applied mathematics, Computer science, Fuzzy Differential Equations, Fuzzy logic, Regular polygon, Combinatorics, Modeling and Simulation, convex fuzzy interval-valued function, Physical Sciences, Inequalities for sums, series and integrals, Fractional Calculus, Hermite-Hadamard Inequalities, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
8
Top 10%
Average
Top 10%
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