Results 21 to 30 of about 252 (113)
A Study on the Modified Form of Riemann-Type Fractional Inequalities via Convex Functions and Related Applications [PDF]
, 2022 In this article, we provide constraints for the sum by employing a generalized modified form of fractional integrals of Riemann-type via convex functions.
De la Sen Parte, Manuel +6 more
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The Strong Convex Functions and Related Inequalities
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 The study of convex functions is one of the most researched of the classical fields. Analysis of the geometric characteristics of these functions is a core area of research in this field; however, a paradigm shift in this research is the application of convexity in optimization theory.
Xue Wang +4 more
wiley +1 more source
Some New Inequalities for p‐Convex Functions via a K‐Fractional Conformable Integral
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 The intention of this paper is to develop some new Hermite–Jensen–Mercer type inequalities for p−convex functions via k−fractional conformable integrals. Several existing results are also discussed which can be deduced from our results.
Yan Dou +4 more
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New Fractional Hermite–Hadamard–Mercer Inequalities for Harmonically Convex Function
Journal of Function Spaces, 2021 In 2003, Mercer presented an interesting variation of Jensen’s inequality called Jensen–Mercer inequality for convex function. In the present paper, by employing harmonically convex function, we introduce analogous versions of Hermite–Hadamard ...
Saad Ihsan Butt +4 more
doaj +1 more source
New Ostrowski-Type Fractional Integral Inequalities via Generalized Exponential-Type Convex Functions and Applications [PDF]
, 2021 Recently, fractional calculus has been the center of attraction for researchers in mathematical sciences because of its basic definitions, properties and applications in tackling real-life problems.
Ahmad, Hijaz +5 more
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A note on some Ostrowski type inequalities via Generalized Exponentially Convexity [PDF]
, 2021 In this paper, we define and investigate generalized exponential type convex functions namely exponentially $s$--convex function. In the support of this newly introduced idea, we attain the algebraic properties of this function, and furthermore, in the ...
Jamshed Nasir, Jamshed Nasir +3 more
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Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 The main objective of the paper is to develop an innovative idea of bringing continuous and discrete inequalities into a unified form. The desired objective is thus obtained by embedding majorization theory with the existing notion of continuous inequalities.
Shah Faisal +5 more
wiley +1 more source
Demonstratio Mathematica, 2023 The Hermite-Hadamard inequality is regarded as one of the most favorable inequalities from the research point of view. Currently, mathematicians are working on extending, improving, and generalizing this inequality.
Saeed Tareq +4 more
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New Fractional Mercer–Ostrowski Type Inequalities with Respect to Monotone Function
Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022 This research focuses on Ostrowski type inequality in the form of classical Mercer inequality via ψ‐Riemann–Liouville fractional integral (F‐I) operators. Using the ψ‐Riemann–Liouville F‐I operator, we first develop and demonstrate a new generalized lemma for differentiable functions. Based on this lemma, we derive some fractional Mercer–Ostrowski type
Saad Ihsan Butt +5 more
wiley +1 more source
Journal of Mathematics, 2020 In this paper, certain Hermite–Hadamard–Mercer-type inequalities are proved via Riemann–-Liouville fractional integral operators. We established several new variants of Hermite–Hadamard’s inequalities for Riemann–Liouville fractional integral operators ...
Qiong Kang +5 more
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