Integral Inequalities and Generalized Convexity

Mishra, Shashi Kant; Sharma, Nidhi; Bisht, Jaya

doi:10.1201/9781003408284

2023

DOI: 10.1201/9781003408284

|View full text |Cite

Integral Inequalities and Generalized Convexity

Shashi Kant Mishra¹,

Nidhi Sharma²,

Jaya Bisht³

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2024

Publication Types

Select...

Article1

Relationship

Self Cite0

Independent1

Authors

Journals

Cited by 1 publication

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

Generalization of quantum calculus and corresponding Hermite–Hadamard inequalities

Akbar,

Abbas,

Budak

2024

Anal.Math.Phys.

View full text Add to dashboard Cite

The aim of this paper is first to introduce generalizations of quantum integrals and derivatives which are called $$(\phi \,-\,h)$$ ( ϕ - h ) integrals and $$(\phi \,-\,h)$$ ( ϕ - h ) derivatives, respectively. Then we investigate some implicit integral inequalities for $$(\phi \,-\,h)$$ ( ϕ - h ) integrals. Different classes of convex functions are used to prove these inequalities for symmetric functions. Under certain assumptions, Hermite–Hadamard-type inequalities for q-integrals are deduced. The results presented herein are applicable to convex, m-convex, and $$\hbar $$ ħ -convex functions defined on the non-negative part of the real line.

show abstract

Generalization of quantum calculus and corresponding Hermite–Hadamard inequalities

Akbar,

Abbas,

Budak

2024

Anal.Math.Phys.

View full text Add to dashboard Cite

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

Integral Inequalities and Generalized Convexity

Cited by 1 publication

References 0 publications

Generalization of quantum calculus and corresponding Hermite–Hadamard inequalities

Generalization of quantum calculus and corresponding Hermite–Hadamard inequalities

Contact Info

Product

Resources

About