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Some new integral inequalities for higher-order strongly exponentially convex functions

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Main Authors: Jaya, Bisht, Nidhi, Sharma, Shashi Kant, Mishra
Format: Book
Language:English
Published: Springer 2023
Subjects:
Hermite–Hadamard inequality
Riemann–Liouville fractional integrals via higher-order
Online Access:https://link.springer.com/article/10.1186/s13660-023-02952-y
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7542
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spelling oai:localhost:PNK-75422023-04-05T03:33:45Z Some new integral inequalities for higher-order strongly exponentially convex functions Jaya, Bisht Nidhi, Sharma Shashi Kant, Mishra Hermite–Hadamard inequality Riemann–Liouville fractional integrals via higher-order CC BY Integral inequalities with generalized convexity play an important role in both applied and theoretical mathematics. The theory of integral inequalities is currently one of the most rapidly developing areas of mathematics due to its wide range of applications. In this paper, we study the concept of higher-order strongly exponentially convex functions and establish a new Hermite–Hadamard inequality for the class of strongly exponentially convex functions of higher order. Further, we derive some new integral inequalities for Riemann–Liouville fractional integrals via higher-order strongly exponentially convex functions. These findings include several well-known results and newly obtained results as special cases. We believe that the results presented in this paper are novel and will be beneficial in encouraging future research in this field. 2023-04-05T03:33:45Z 2023-04-05T03:33:45Z 2023 Book https://link.springer.com/article/10.1186/s13660-023-02952-y https://dlib.phenikaa-uni.edu.vn/handle/PNK/7542 en application/pdf Springer
institution Digital Phenikaa
collection Digital Phenikaa
language English
topic Hermite–Hadamard inequality
Riemann–Liouville fractional integrals via higher-order
spellingShingle Hermite–Hadamard inequality
Riemann–Liouville fractional integrals via higher-order
Jaya, Bisht
Nidhi, Sharma
Shashi Kant, Mishra
Some new integral inequalities for higher-order strongly exponentially convex functions
description CC BY
format Book
author Jaya, Bisht
Nidhi, Sharma
Shashi Kant, Mishra
author_facet Jaya, Bisht
Nidhi, Sharma
Shashi Kant, Mishra
author_sort Jaya, Bisht
title Some new integral inequalities for higher-order strongly exponentially convex functions
title_short Some new integral inequalities for higher-order strongly exponentially convex functions
title_full Some new integral inequalities for higher-order strongly exponentially convex functions
title_fullStr Some new integral inequalities for higher-order strongly exponentially convex functions
title_full_unstemmed Some new integral inequalities for higher-order strongly exponentially convex functions
title_sort some new integral inequalities for higher-order strongly exponentially convex functions
publisher Springer
publishDate 2023
url https://link.springer.com/article/10.1186/s13660-023-02952-y
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7542
_version_ 1762365500395880448
score 8.891053

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