New Developments on Ostrowski Type Inequalities via <math xmlns="http://www.w3.org/1998/Math/MathML" id="M1">
                     <mi>q</mi>
                  </math>-Fractional Integrals Involving <math xmlns="http://www.w3.org/1998/Math/MathML" id="M2">
                     <mi>s</mi>
                  </math>-Convex Functions

Wang, Xiaoming; Khan, Khuram Ali; Ditta, Allah; Nosheen, Ammara; Awan, Khalid Mahmood; Mabela, Rostin Matendo

doi:10.1155/2022/9742133

Cited by 4 publications

(4 citation statements)

References 26 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Wang et al [45] developed new Ostrowski-type inequalities via q-fractional integrals involving s-convex functions. To the best of our knowledge, this is the first published paper working in this new direction that mixed together the FC with QC.…”

Section: Introductionmentioning

confidence: 99%

Some New Parameterized Quantum Fractional Integral Inequalities Involving s-Convex Functions and Applications

et al. 2022

View full text Add to dashboard Cite

Convexity performs the appropriate role in the theoretical study of inequalities according to the nature and behavior. Its significance is raised by the strong connection between symmetry and convexity. In this article, we consider a new parameterized quantum fractional integral identity. By applying this identity, we obtain as main results some integral inequalities of trapezium, midpoint and Simpson’s type pertaining to s-convex functions. Moreover, we deduce several special cases, which are discussed in detail. To validate our theoretical findings, an example and application to special means of positive real numbers are presented. Numerical analysis investigation shows that the mixed fractional calculus with quantum calculus give better estimates compared with fractional calculus or quantum calculus separately.

show abstract

Section: Introductionmentioning

confidence: 99%

Some New Parameterized Quantum Fractional Integral Inequalities Involving s-Convex Functions and Applications

et al. 2022

View full text Add to dashboard Cite

show abstract

“…Aljinović et al [31] established Ostrowski inequality for quantum calculus. Wang et al [32] developed new Ostrowski-type inequalities via q-fractional integrals involving s-convex functions. To the best of our knowledge, the recently published paper from Wang et al [32] is the first one working in this new direction that mixed together the fractional calculus with quantum calculus.…”

Section: Introductionmentioning

confidence: 99%

“…Wang et al [32] developed new Ostrowski-type inequalities via q-fractional integrals involving s-convex functions. To the best of our knowledge, the recently published paper from Wang et al [32] is the first one working in this new direction that mixed together the fractional calculus with quantum calculus. Inspired by it, we will try to give some new quantum fractional integral inequalities of Ostrowski and midpoint type.…”

Section: Introductionmentioning

confidence: 99%

Parameterized Quantum Fractional Integral Inequalities Defined by Using n-Polynomial Convex Functions

Liko

Srivástava

Mohammed

et al. 2022

Axioms

View full text Add to dashboard Cite

Convexity performs the appropriate role in the theoretical study of inequalities according to the nature and behaviour. There is a strong relation between symmetry and convexity. In this article, we consider a new parameterized quantum fractional integral identity. Following that, our main results are established, which consist of some integral inequalities of Ostrowski and midpoint type pertaining to n-polynomial convex functions. From our main results, we discuss in detail several special cases. Finally, an example and an application to special means of positive real numbers are presented to support our theoretical results.

show abstract

“…Wang et al [42] developed new Ostrowski type inequalities via q-fractional integrals involving s-convex functions. Inspired by this paper, we attempt to give some new q-fractional integral inequalities of Newton's type.…”

Section: Introductionmentioning

confidence: 99%

NEWTON'S TYPE QUANTUM FRACTIONAL INTEGRAL INEQUALITIES PERTAINING TO n-POLYNOMIAL CONVEX FUNCTIONS AND APPLICATION

LIKO,

KASHURI

2022

matbil

View full text Add to dashboard Cite

In this paper, we consider a new Newton's type quantum fractional integral identity. Following that as an auxiliary result, we established in our main results some integral inequalities of Newton's type including npolynomial convex functions. From our main results, we discuss in detail several special cases. Finally, an example and application of a special means of positive real numbers are presented to support our theoretical results.

show abstract

New Developments on Ostrowski Type Inequalities via $q$ -Fractional Integrals Involving $s$ -Convex Functions

Cited by 4 publications

References 26 publications

Some New Parameterized Quantum Fractional Integral Inequalities Involving s-Convex Functions and Applications

Some New Parameterized Quantum Fractional Integral Inequalities Involving s-Convex Functions and Applications

Parameterized Quantum Fractional Integral Inequalities Defined by Using n-Polynomial Convex Functions

NEWTON'S TYPE QUANTUM FRACTIONAL INTEGRAL INEQUALITIES PERTAINING TO n-POLYNOMIAL CONVEX FUNCTIONS AND APPLICATION

Contact Info

Product

Resources

About

New Developments on Ostrowski Type Inequalities via q -Fractional Integrals Involving s -Convex Functions

Cited by 4 publications

References 26 publications

Some New Parameterized Quantum Fractional Integral Inequalities Involving s-Convex Functions and Applications

Some New Parameterized Quantum Fractional Integral Inequalities Involving s-Convex Functions and Applications

Parameterized Quantum Fractional Integral Inequalities Defined by Using n-Polynomial Convex Functions

NEWTON'S TYPE QUANTUM FRACTIONAL INTEGRAL INEQUALITIES PERTAINING TO n-POLYNOMIAL CONVEX FUNCTIONS AND APPLICATION

Contact Info

Product

Resources

About

New Developments on Ostrowski Type Inequalities via $q$ -Fractional Integrals Involving $s$ -Convex Functions