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New Estimates of Q1q2-Ostrowski Inequalities Within a Class of N-Polynomial Prevexity of Functions

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Date

2020

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Volume Title

Publisher

Hindawi Ltd

Open Access Color

GOLD

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No

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Abstract

In this article, we develop a novel framework to study for a new class of preinvex functions depending on arbitrary nonnegative function, which is calledn-polynomial preinvex functions. We use then-polynomial preinvex functions to develop q(1)q(2)-analogues of the Ostrowski-type integral inequalities on coordinates. Different features and properties of excitement for quantum calculus have been examined through a systematic way. We are discussing about the suggestions and different results of the quantum inequalities of the Ostrowski-type by inferring a new identity for q(1)q(2)-differentiable function. However, the problem has been proven to utilize the obtained identity, we give q(1)q(2)-analogues of the Ostrowski-type integrals inequalities which are connected with then-polynomial preinvex functions on coordinates. Our results are the generalizations of the results in earlier papers.

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Keywords

partial \(q_1q_2\)-derivative, \(n\)-polynomial preinvex function, Artificial intelligence, Ostrowski-type inequalities, Applied Mathematics, Matrix Inequalities, Inequalities involving derivatives and differential and integral operators, quantum integral identity, Stability of Functional Equations in Mathematical Analysis, Matrix Inequalities and Geometric Means, Computer science, Orthogonal Polynomials, Algorithm, Physical Sciences, QA1-939, FOS: Mathematics, Inequalities for sums, series and integrals, Mathematics

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Fields of Science

01 natural sciences, 0101 mathematics

Citation

Kalsoom, Humaira...et al. (2020). "New Estimates of q(1)q(2)-Ostrowski-Type Inequalities within a Class of n-Polynomial Prevexity of Functions", Journal of Function Spaces, Vol. 2020.

WoS Q

Q1

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Q1
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OpenCitations Citation Count
12

Source

Journal of Function Spaces

Volume

2020

Issue

Start Page

1

End Page

13
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Scopus : 39

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Mendeley Readers : 5

SCOPUS™ Citations

39

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34

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Page Views

2

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6.07336069

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