37 Result(s)
within
Yu-**a Chu
English
Analysis
Difference and Functional Equations
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Article
Open AccessRetraction Note: Hermite–Hadamard-type inequalities for \(\eta _{h}\) -convex functions via ψ-Riemann–Liouville fractional integrals
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Open AccessMatrix computational collocation approach based on rational Chebyshev functions for nonlinear differential equations
In this work, a numerical technique for solving general nonlinear ordinary differential equations (ODEs) with variable coefficients and given conditions is introduced. The collocation method is used with ratio...
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Open AccessA new generalization of some quantum integral inequalities for quantum differentiable convex functions
In this paper, we offer a new quantum integral identity, the result is then used to obtain some new estimates of Hermite–Hadamard inequalities for quantum integrals. The results presented in this paper are gen...
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Open AccessOn new generalized unified bounds via generalized exponentially harmonically s-convex functions on fractal sets
The visual beauty reflects the practicability and superiority of design dependent on the fractal theory. Based on the applicability in practice, it shows that it is the completely feasible, self-comparability ...
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Open AccessA divided differences based medium to analyze smoothness of the binary bivariate refinement schemes
In this article, we present the continuity analysis of the 3D models produced by the tensor product scheme of ( ...
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Open AccessNew Hermite–Hadamard-type inequalities for -convex fuzzy-interval-valued functions
In this paper, we introduce the non-convex interval-valued functions for fuzzy-interval-valued functions, which are called -convex fuzzy-interva...
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Open AccessThe refinement-schemes-based unified algorithms for certain nth order linear and nonlinear differential equations with a set of constraints
We first present a generalized class of binary interpolating refinement schemes and their properties. Then the refinement-schemes-based unified algorithms for the solution of certain nth order linear and nonlinea...
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Open AccessMathematical analysis of a within-host model of SARS-CoV-2
In this paper, we have mathematically analyzed a within-host model of SARS-CoV-2 which is used by Li et al. in the paper “The within-host viral kinetics of SARS-CoV-2” published in (Math. Biosci. Eng. 17(4):2853–...
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Open AccessWeighted Hermite–Hadamard type inclusions for products of co-ordinated convex interval-valued functions
In this paper, we establish some Hermite–Hadamard–Fejér type inclusions for the product of two co-ordinated convex interval-valued functions. These inclusions are generalizations of some results given in earli...
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Open AccessAnalysis of fractional multi-dimensional Navier–Stokes equation
In this paper, a hybrid method called variational iteration transform method has been implemented to solve fractional-order Navier–Stokes equation. Caputo operator describes fractional-order derivatives. The s...
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Open AccessNew quantum boundaries for quantum Simpson’s and quantum Newton’s type inequalities for preinvex functions
In this research, we derive two generalized integral identities involving the q ...
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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 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 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...
