Some New Ostrowski-Type Inequalities Involving <math xmlns="http://www.w3.org/1998/Math/MathML" id="M1">
                     <mi>σ</mi>
                  </math>-Fractional Integrals

In this paper, we define and explore the new family of exponentially convex functions which are called exponentially s–convex functions. We attain the amazing examples and algebraic properties of this newly introduced function. In addition, we find a novel version of Hermite-Hadamard type inequality in the support of this newly introduced concept via the frame of classical and fractional calculus (non-conformable and Riemann-Liouville integrals operator). Furthermore, we investigate refinement of Hermite-Hadamard type inequality by using exponentially s–convex functions via fractional integraloperator. Finally, we elaborate some Ostrowski type inequalities in the frame of fractional calculus. These new results yield us some generalizations of the prior results.

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Some New Ostrowski-Type Inequalities Involving $σ$ -Fractional Integrals

Abstract: The aim of this paper is to derive some new fractional analogues of Ostrowski-type inequalities involving bounded functions using the concept of σ -Riemann–Liouville fractional integrals.

Cited by 2 publications

References 9 publications

A study of new quantum Montgomery identities and general Ostrowski like inequalities

A study of new quantum Montgomery identities and general Ostrowski like inequalities

A novel analysis of integral inequalities in the frame of fractional calculus

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Some New Ostrowski-Type Inequalities Involving σ -Fractional Integrals

Abstract: The aim of this paper is to derive some new fractional analogues of Ostrowski-type inequalities involving bounded functions using the concept of σ -Riemann–Liouville fractional integrals.

Cited by 2 publications

References 9 publications

A study of new quantum Montgomery identities and general Ostrowski like inequalities

A study of new quantum Montgomery identities and general Ostrowski like inequalities

A novel analysis of integral inequalities in the frame of fractional calculus

Contact Info

Product

Resources

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Some New Ostrowski-Type Inequalities Involving $σ$ -Fractional Integrals