139 Result(s)
within
Yu-**a Chu
Analysis
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Article
Open AccessModeling of pressure–volume controlled artificial respiration with local derivatives
We attempt to motivate utilization of some local derivatives of arbitrary orders in clinical medicine. For this purpose, we provide two efficient solution methods for various problems that occur in nature by e...
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Open Access\((\mathrm{p},\mathrm{q})\) -Analysis of Montgomery identity and estimates of \((\mathrm{p},\mathrm{q})\) -bounds with applications
The main objective of this article is to establish a new post quantum version of Montgomery identity. Some estimates of associated post quantum bounds are also obtained. In order to obtain the main results of ...
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Open AccessSome k-fractional extension of Grüss-type inequalities via generalized Hilfer–Katugampola derivative
In this paper, we prove several inequalities of the Grüss type involving generalized k-fractional Hilfer–Katugampola derivative. In 1935, Grüss demonstrated a fascinating integral inequality, which gives approxim...
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Open AccessQuantum variant of Montgomery identity and Ostrowski-type inequalities for the map**s of two variables
In this investigation, we demonstrate the quantum version of Montgomery identity for the functions of two variables. Then we use the result to derive some new Ostrowski-type inequalities for the functions of t...
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Open AccessQuantum Hermite–Hadamard-type inequalities for functions with convex absolute values of second \(q^{b}\) -derivatives
In this paper, we obtain Hermite–Hadamard-type inequalities of convex functions by applying the notion of ...
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Open AccessRefinements of some integral inequalities for unified integral operators
In this paper we are presenting the refinements of integral inequalities established for convex functions. Consequently, we get refinements of several fractional integral inequalities for different kinds of fr...
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Open AccessOn n-polynomial p-convex functions and some related inequalities
In this paper, we introduce a new class of convex functions, so-called n-polynomial p-convex functions. We discuss some algebraic properties and present Hermite–Hadamard type inequalities for this generalization....
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Open AccessGeneralized trapezium-type inequalities in the settings of fractal sets for functions having generalized convexity property
In the paper, we extend some previous results dealing with the Hermite–Hadamard inequalities with fractal sets and several auxiliary results that vary with local fractional derivatives introduced in the recent...
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Open AccessIntegral inequalities via Raina’s fractional integrals operator with respect to a monotone function
We establish certain new fractional integral inequalities involving the Raina function for monotonicity of functions that are used with some traditional and forthright inequalities. Taking into consideration t...
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Open AccessNew post quantum analogues of Ostrowski-type inequalities using new definitions of left–right \((p,q)\) -derivatives and definite integrals
The main objective of this paper is to introduce a new more elegant notion of left–right ( p , q ) \((p,q)\) -derivative and definite integrals. To show the significance of these concepts, we discuss some of the...
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Open AccessNew Hermite–Jensen–Mercer-type inequalities via k-fractional integrals
In the article, we establish serval novel Hermite–Jensen–Mercer-type inequalities for convex functions in the framework of the k-fractional conformable integrals by use of our new approaches. Our obtained results...
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Open AccessRETRACTED ARTICLE: Hermite–Hadamard-type inequalities for \(\eta _{h}\) -convex functions via ψ-Riemann–Liouville fractional integrals
In this paper, we establish some new Hermite–Hadamard type inequalities involving ψ-Riemann–Liouville fractional integrals via ...
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Open AccessGeneralizations of Hermite–Hadamard like inequalities involving \(\chi _{{\kappa }}\) -Hilfer fractional integrals
The main objective of this paper is to obtain a new κ-fractional analogue of Hermite–Hadamard’s inequality using the class of s-convex functions and χ κ \(\chi _{{\kappa }}\) -Hilfer fractional integrals. In o...
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Open AccessA new q-integral identity and estimation of its bounds involving generalized exponentially μ-preinvex functions
In the article, we introduce the generalized exponentially μ-preinvex function, derive a new q-integral identity for second order q-differentiable function, and establish several new q-trapezoidal type integral i...
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Open AccessOn post quantum estimates of upper bounds involving twice \((p,q)\) -differentiable preinvex function
The main objective of this paper is to derive a new post quantum integral identity using twice ( p , q ) \((p,q)\) -differentiable functions. Using this identity as an auxiliary result, we obtain some new post q...
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Open AccessNew fractional approaches for n-polynomial P-convexity with applications in special function theory
Inequality theory provides a significant mechanism for managing symmetrical aspects in real-life circumstances. The renowned distinguishing feature of integral inequalities and fractional calculus has a solid ...
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Open AccessStudy of hybrid orthonormal functions method for solving second kind fuzzy Fredholm integral equations
The approximate numerical solution of the linear second kind of fuzzy integral Fredholm equations is discussed in this article. A new approach uses hybrid functions, and some useful properties of these functio...
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Open AccessFractional inclusions of the Hermite–Hadamard type for m-polynomial convex interval-valued functions
The notion of m-polynomial convex interval-valued function Ψ = [ ...
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Open AccessSome new Simpson-type inequalities for generalized p-convex function on fractal sets with applications
The present article addresses the concept of p-convex functions on fractal sets. We are able to prove a novel auxiliary result. In the application aspect, the fidelity of the local fractional is used to establish...
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Open AccessCertain new weighted estimates proposing generalized proportional fractional operator in another sense
The present work investigates the applicability and effectiveness of generalized proportional fractional integral ( GPFI \(\mathcal{GPFI}\) ) operator in another sense. We aim to derive novel weighted generalizat...
