Sentence examples for integral equality from inspiring English sources

By the integral equality (28). it follows that (29).

Indeed, in some references, the integral equality (61)  .

Hence (u_{n_{k},M_{k}}to u) almost everywhere and the integral equality (2.7) holds.

Indeed, in some references, the integral equality (61). is straightly substituted by inequality (2.13).

Hence the above integral equality converges to (2.7) for (T=delta_{0}) and u is a local weak solution to problem (1.1 - 1.3 1.1 - 1.3

From the definition of g ( t ), we obtain the integral equality ∫ g ( t ) g 0 d s g m = t 2 H. Define T ¯ = 2 H ∫ 0 g 0 1 g m d s.

Note that Wang et al. [13, 16] presented some elementary fractional integral equalities for twice differential functions.

Researchers investigated Hermite-Hadamard inequalities involving fractional integrals according to the associated fractional integral equalities and different types of convex functions.

Many authors paid attention to the study of fractional Hermite-Hadamard inequalities according to the first-order integral equalities and convex functions of different classes.

Motivated by [13, 16, 19], we study Riemann-Liouville fractional Hermite-Hadamard type inequalities for geometric-arithmetically s-convex functions by means of first-order fractional integral equalities.

Motivated by [9, 10, 13, 20], we study Riemann-Liouville fractional Hermite-Hadamard type inequalities for geometric-arithmetically s-convex functions by means of first-order fractional integral equalities.